Which function is the inverse of f(x)=4x-1?

Answers

Answer 1

The function f⁻¹(x) = x/4 + 1/4 is the inverse of f(x)=4x-1

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable). In maths and the physical sciences, functions are indispensable for formulating physical relationships.

The function is given as f(x)=4x-1

To determine the inverse of a function, switch the places of x and y (or f(x)).

f(x) = 4x - 1

y = 4x - 1

Switch the variables;

x = 4y - 1

Now, convert the equation back into y = mx + b form.

x + 1 = 4y

y = x/4 + 1/4

f⁻¹(x) = x/4 + 1/4

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Related Questions

You borrow $350 from your aunt and agree to repay her $400 in 18 months. What interest rate (to the nearest tenth) are you paying?

Answers

I = P*r*t
r = I/(P*t) = (400 -350)/(350*1.5) . . . . . . 18 mo = 1.5 yr
r = 1/10.5
r ≈ 9.5%

You are paying about 9.5% simple interest.

A rectangle perimeter is 102 inches. The width of the rectangle is 9 inches more than half the length. What are the length and width of the rectangle?

Answers

If the perimeter is 102 inches, the sum of length and width is half that, 51 inches. This sum is
51 = L + (1/2L +9)
42 = 3/2L
28 = L
W = L/2 +9 = 23

The length and width of the rectangle are 28 inches and 23 inches, respectively.

Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5

Answers

A cubic function is a function with the highest degree of 3. So the answer is V

Answer:

Option C is a cubic function

Step-by-step explanation:

Given the options we have to choose the cubic function

Cubic function is the function with degree 3 i.e the highest power of variable is 3.

Option a: [tex]f(x)=3x+1[/tex]

The above polynomial has highest power 1 i.e of degree 1

∴ not a cubic function

Option b: [tex]f(x)=3x^2+x+2[/tex]

The above polynomial has highest power 2 i.e of degree 2

∴ not a cubic function

Option c: [tex]f(x)=5x^3+2x+1[/tex]

The above polynomial has highest power 3 i.e of degree 3

∴ above is a cubic function

Option d: [tex]f(x)=x^3+x^4+5[/tex]

The above polynomial has highest power 4 i.e of degree 4

∴ not a cubic function

Is 200 milliliter equivalent to 2 liters

Answers

No because,

1 liter = 1000 milliliter
2 liter = 2 * 1000 = 2000 milliliter
200 milliliter = 0.2 liter

Hope this helps :)

What are the roots of the equation?

x^2+24=−11x

Enter your answers in the boxes.

Answers

The correct answers are:

x=-3 and x=-8.

Explanation:

We can first write this in standard form, ax²+bx+c=0. To do this, we will add 11x to both sides:
x²+24+11x=-11x+11x
x²+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.

Answer:

[tex]x_1 = -8[/tex]

[tex]x_2 = -3[/tex]

Step-by-step explanation:

Given the equation:

[tex]x^2+24 = -11x[/tex]

Add 11x to both sides we have;

[tex]x^2+11x+24 = 0[/tex]

Split the middle terms we have;

⇒[tex]x^2+8x+3x+24 = 0[/tex]

⇒[tex]x(x+8)+3(x+8)= 0[/tex]

⇒[tex](x+8)(x+3)= 0[/tex]

By zero product property we have;

x+8 = 0 and x+3= 0

⇒x = -8 and x = -3

Therefore, the roots of the given equations are:

[tex]x_1 = -8[/tex]

[tex]x_2 = -3[/tex]

A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon

Answers

First compute the probability of getting an orange marble.
Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times.

The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.

Yes, they increased their score by 8%.

No, they increased their score by only 6%.

No, they increased their score by only 8%.

Description

Answers

no they only increased it by 6 precent

Yes, they reach the goal and increased their score by 9%.

What is percentage increase?

% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.

Given:

Last week game score=66

Next week game score= 72

Change in score= 72-66=6

So,

% increase= Change in score/original score *100

=6/66*100

=9.09 %

Hence, the score increase by 9.09%.

Learn more about percentage increase here:

https://brainly.com/question/20818421

#SPJ2

Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray?

Answers

8 because 2^3 or 2 x 2 x 2 = 8

Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account after 5 years?

Answers

Given that the amount invested was compounded annually, the total value of the investment after 5 years will be:
FV=P(1+r/100)^n
where:
FV=future value
p=principle
r=rate
n=time
hence
FV=5000(1+3.2/100)^5
FV=$5,852.865

Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8

Answers

well, assuming is not inches, and instead is ln(x).

[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]

Answer:

[tex]x=7.39[/tex]

Step-by-step explanation:

we are given equation as

[tex]6+ln(x)=8[/tex]

Since, we have to solve for x

so, we will isolate x on anyone side

Firstly, we will subtract both sides by 6

[tex]6+ln(x)-6=8-6[/tex]

[tex]ln(x)=2[/tex]

now, we can take exponent of e on both sides

[tex]e^{ln(x)}=e^2[/tex]

now, we can use property of log

and we get

[tex]e^{ln(a)}=a[/tex]

we can use it

[tex]x=e^2[/tex]

So, solution is

[tex]x=7.39[/tex]

how many subsets of at least one element does a set of six elements have

Answers

The number of subsets of n elemnets = 2^n
but this also includes a null set, because a null set is a subset of every set

So in our problem = 2^6 -1 = 63 subsets
Choice B

Answer: The required number of subsets is 63.

Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.

We know that

the number of subsets of a set having n elements is given by

[tex]N=2^n.[/tex]

So, the number of subsets of the set having six elements will be

[tex]N=2^6=64.[/tex]

Since there is only one subset of every set that contains less than one element (that is the empty set), so

the number of subsets of the set with at least one element is given by

[tex]N-1=64-1=63.[/tex]

Thus, the required number of subsets is 63.

whats the equation of the line?

Answers

Is there an attachment? I can’t help.

Find the next number sequence 192,96

Answers

the answer i think i is 192,961

Which is the most reasonable conjecture about the data shown in the scatter plot?

I think B? I'm not sure..

Answers

In this case, what you should notice is that there is an increase in salary according to years of experience.
Notice that as the horizontal axis moves away from the origin of coordinates, the vertical axis also moves away from the origin of coordinates.
Answer:
people with more experience, have to earn higher salaries.
option B.

The probability is 0.2 that a person shopping at a certain store will

Answers

Your question is incomplete

Two fair dice are rolled. what is the (conditional) probability that the first dice lands on an even number given that at least one of the dice lands on a 6?

Answers

The probability is 1/2

A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers

Answers

Make a proportion:

60 km/ 1 g = 240 km/ x

Cross multiply to find x.

60x = 240

x = 4 The bike would need 4 gallons of gasoline.

To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.

To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:

First, write down the given efficiency: 60 kilometers per gallon.

Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:

240 kilometers / 60 kilometers per gallon = 4 gallons.

Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.

Please help me with this question

Answers

The area of 1/2 the hexagon is
.. A = (1/2)*(1/2)*6*(10 cm)*x = 15x
.. 130 cm^2/15 = x ≈ 8.7 cm

_____
In a regular hexagon, the apothem is always the side length multiplied by (√3)/2. It will be 8.7 cm regardless of the shading.

The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of $ 1 1 3 . 0 0 $113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 4 5 % 45%45, percent. At what price should the manager sell the couch?

Answers

Original $= $113
% mark up= 45%

=original $ + (original $ * 45%)
=113 + (113 * 45%)
=113 + 50.85
= $163.85

ANSWER: The manager should sell the couch for $163.85.

Hope this helps! :)

The answer is $163.85

Anyone know the right answer?

Answers

Begin by understanding the word "per"

Whatever follows per is on the denominator of the fraction

So it's cm/$
21.5 cm / 17.20 = 1.25 cm / dollars.
It's an odd unit, but that's what it is.
This is very expensive wire. Must be made of something like platinum.

Which of the following is a negation of the statement below?

All students like math.

Answers

in fact, i do not see the answer from the choices that i like, so i will let some one else answer All students do not like math. is wrong since all we need is one that does not like math i hope this helps you

Answer:

All students do not like math

Step-by-step explanation:

Because if it was 'No students do not like math' would mean 'all students like math'

if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25

Answers

The selling price is 2.5 times the cost. If the cost goes up by 0.25, the selling price needs to go up by 2.5*0.25 = 0.63 in order to maintain the gross margin.

The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers?

Answers

9 and 29 would be your answer. Because there is a 20 difference in the two numbers and they equal 38 when added together. Hope this helps!

x= smaller number
x+20= larger number

Add the two numbers together and solve for x.

x + (x+20)= 38
combine like terms
2x + 20= 38
subtract 20 from both sides
2x= 18
divide both sides by 2
x= 9 smaller number

To find the larger number, substitute x=9 in the expression x+20.
=x+20
=9+20
= 29 larger number

CHECK:
9 + 29= 38
38= 38

ANSWER: The smaller number is 9 and the larger number is 29

Hope this helps! :)

Sela's piano lesson starts at 4:45pm the lesson is 30 minutes long

Answers

The piano lesson would end at 5:15. Does this answer your question?

the piano lesson ends at 5:15

Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13

Answers

we know that
the rule is
y=x+2
then
for x=-3 -------------------> y=-3+2=-1
for x=-2 -------------------> y=-2+2=0
for x=-1 -------------------> y=-1+2=1
for x=0 -------------------> y=0+2=2
for x=1 -------------------> y=1+2=3

for x=3 -------------------> y=3+2=5
for x=4 -------------------> y=4+2=6
for x=5 -------------------> y=5+2=7
for x=6 -------------------> y=6+2=8
for x=7 -------------------> y=7+2=9

the answer is
Input x -3 -2 -1 0 1 Output y -1 0 1 2 3

Answer: the first set of data:

Input x     -3    -2    -1    0 1
Output y   -1 0     1     2    3

Explanation:

Given functión y = x + 2

Choices:

1)
Input x     -3    -2    -1    0 1
Output y   -1 0     1     2    3

2)

Input x      3    4    5      6      7
Output y   5    7    9    11    13

Answer:

You just have to use the sets of input values and find the output values with the given function:

The computes are very simple so you can tell the answer at first sight, because the output, y, is 2 units more than the input, x.

The first set of data fits the function because

x = -3 => y = -3 + 2 = -1
x = -2 => y = -2 + 2 = 0
x = -1 => y = -1 + 2 = 1
x = 0 => y = = 0 + 2 = 2
x = 1 => y = 1 + 2 = 3

That proves that the first set of data represents the given rule.

For the second set of data pick x = 4 => x + 2 = 6 but the correspondant y is 7, so that set does not represent the rule y = x + 2

PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!
An irregular polygon is shown below:
Image of irregular polygon with length of 8 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 1 units. The area of the irregular polygon is ____ square units.

Answers

THE AREA IS 20 UNITS BECAUSE IF YOU DIVIDE IT INTO 2 SQUARES, THE FIRST ONE IS 4*3=12. THE SECOND ONE IS 2*4=8.
12+8=20.

HOPE THIS HELPED☺☺

Answer:

Step-by-step explanation:

Find the fifth term of an=3n-5

Answers

For the fifth term, n = 5.
Just replace n with 5 in the expression.
Then evaluate the expression.

[tex] a_n = 3n - 5 [/tex]

[tex] a_5 = 3(5) - 5 = 15 - 5 = 10 [/tex]

what is the answer to 3 (k-2)-6=4k-(3k-1)

Answers

Eliminate parentheses.
3k -6 -6 = 4k -3k +1
Collect terms.
3k -12 = k +1
Add 12, subtract k
3k = k +13
2k = 13
Divide by the coefficient of k
k = 13/2 = 6.5

How many 10 person juries can be formed from 21 possible candidates???

Answers

The answer is 352,716.

This is a combination; out of 21 you are choosing 10:

[tex]_{21}C_{10}=\frac{21!}{10!11!}=352,716[/tex]

Answer:

352,716 juries of 10 people can be formed from 21 possible candidates

Step-by-step explanation:

I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

10 people from a set of 21

[tex]C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716[/tex]

352,716 10 person juries can be formed from 21 possible candidates

what is 5 1/2 × 2 1/3

Answers

Hello,

Here is your answer:

The proper answer to this question is "77/6".

Here is how:

First turn the mix numbers into fractions:

5 1/2=11/2
&
2 1/3=7/3

Now write the equation:

11*7=77
2*3=6

Your answer is 77/6!

If you need anymore help feel free to ask me!

Hope this help!

Other Questions

Latoria is horseback riding when she falls and hits her head. after the accident, she has difficulty performing finely coordinated movements. latoria has most likely damaged her ____.a. medulla oblongatab. reticular formationc. cerebellumd. locus coeruleus Which of the below was not a popular genre during the Victorian era?A.detective fiction B.gothic fiction C.postmodern fiction, A courier worked 39 hours and earned $429, which included some compensation for paid time off. If his true hourly wage is $3 per hour more than the pay rate shown on his pay stub, what rate is shown on his pay stub? Hint: The true hourly wage is the earnings on the pay stub divided by the hours worked. A.$17 per hour B.$8 per hour C.$13 per hour D.$11 per hour Read the excerpt from T.S. Eliots "Preludes." Which form of poetry is used? The winter evening settles down With smell of steaks in passageways. Six oclock. The burnt-out ends of smoky days. And now a gusty shower wraps The grimy scraps Of withered leaves about your feet And newspapers from vacant lots; The showers beat On broken blinds and chimney-pots, And at the corner of the street A lonely cab-horse steams and stamps. And then the lighting of the lamps. fixed form closed form free verse blank verse NextReset In essence, _____ was a call for the post-war South to take on the more industrial aspects that were seen as beneficial for the North. A.the passage of Jim Crow laws B.the New South C.Presidential Reconstruction D.Emancipation The ________ division of the nervous system carries motor commands to muscles and glands. Having a well-ordered day is not very important for you. Agree or disagree with this trying to get a job don't know what's the best answer Um homem e uma serpente podem pertence a mesma populao? e a mesma comunidade? Which statement BEST describes a difference between a presidential system of democracy and a parliamentary system of democracy?Question 2 options:The president acts as head of state in a presidential system ONLY.The prime minister is elected directly by popular vote in a parliamentary state ONLY.The prime minister act as head of the national government in a parliamentary state ONLY.The president is chosen by members of the Legislative Branch in a presidential system ONLY. __________ helps us adapt to our environment. It also generally __________ with age. A. Plasticity . . . decreases B. Development . . . increases C. Plasticity . . . increases D. Development . . . decreases The first-ever national defense strategy (nds) was initiated by secretary of defense (secdef) rumsfeld in 2005, and then updated in 2008 by secdef gates. however in 2012, secdef panetta released sustaining u.s. global leadership: priorities for 21st century defense, sometimes referred to as the _____, and widely understood to be the replacement for the nds. this strategic document was written to identify defense priorities in the face of budget cuts. Forgetting, i would even go so far as to say historical error, is a crucial factor in the creation of a nation, which is why progress in historical studies often constitutes a danger for [the principle] of nationality. indeed, historical enquiry brings to light deeds of violence which took place at the origin of all political formations, even of those whose consequences have been altogether beneficial. unity is always effected by means of brutality. The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5) parallelogram rectangle trapezoid square Why do you heat the empty crucible? Anybody have the answer to this? Jamie is writing a letter to the mayor, arguing that the nighttime curfew for youth under eighteen should be eliminated. Which is the best evidence to support her claim? Curfews are just another form of restriction that will cause more teens to rebel, breaking both parental and community rules. Many young people have part-time jobs after school, and it is unreasonable to expect parents to take them to and from work. A curfew that is consistently upheld will help protect vulnerable children who need to be out late. Young people should be allowed to stay out with their friends as long as they are engaging in appropriate activities. The blue lobster is a rare form that results from the overproduction of a certain protein, resulting in genetic variations in lobster coloring. What is the best explanation for how this rare variety arose? Anna completed 40% of her homework . Her homework has 30 question how many problems does she still need to complete why is the internet used to deliver education to many communities in AustraliaA. Australia has a teacher shortage B. online education is cheaper to deliver C. Formal education is against the law in my aboriginal communities D. many communities are isolated For each of the presidential powers below, explain one way that congressional decision making is affected by that power. veto power power to issue executive orders power as commander in chiefb. for each of the congressional powers