The graph of f(x) is shown below.
(First image below)
If g(x) and f(x) are inverse functions, which graph represents g(x)?
A. 2nd Graph below
B. 3rd Graph below
C. 4th Graph below
D. 5th Graph below
Answers
[tex]f(x) = \sqrt{x} [/tex]
to find the inverse, replace f(x) with y, switch the x and the y, then solve for y
[tex]f(x) = \sqrt{x} ... \: y = \sqrt{x} \\ x = \sqrt{y} \\ {( \sqrt{y})}^{2} = {x}^{2} \\ y = g(x) = {x}^{2} [/tex]
The only graph showing exponential growth is the 2nd graph (note how at 1 it's 1, at 2 it's 4, at 3 it will be 9, etc.)
Given that we have the graph of f(x), we want to see which one is the graph of its inverse. The correct option is B, the third graph.
Remember that two functions f(x) and g(x) are inverses if:
f(g(x)) = g(f(x)) = x
This also means that if:
f(x) = y
then g(y) = x.
So we basically should have the exact same graph of f(x), but we just "interchange" the two axes.
From this, we can see that the correct option is the third graph (the one where the curve goes upwards. So the correct option is B.
If you want to learn more about inverse functions, you can read:
https://brainly.com/question/10300045
Related Questions
Mark wants a new car that costs $30,000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he choose?
Answers
Answer:
Mark should lease the car with 0% down payment.
Step-by-step explanation:
We know that the new car will cost = $30000.
Mark has only (500+300) = $800 with him.
That means Mark has only 2.66% of the cost of the car which is very less amount.
Thus Mark should have the car by leasing it with 0% down payment because in this way he will be able to buy or own the car with out giving any money for the car or without actually paying for the car and he can also at the same time can have his entire savings amount that he has as savings account and checking accounts.
Thus, he should lease the car with 0% down payment.
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!! This is the graph of f(x). What is the value of f(2)?
Answers
the question answers are A 2 B 16 C 8 D 4
A brother and sister split the $990,000 from the sale of their parent's house. According to the will, the sister was to receive 25% more than her brother, for having managed the property. How much money did the sister receive?
Answers
.. sister : brother = 1.25 : 1 = 5 : 4
Then the sister receives 5/(5+4) = 5/9 of the total, $550,000.
Simplify. 7 to the second power + 3 (-9-7) + 88 divides by 8 + 3 to the second power
Answers
7[tex] x^{2} [/tex]+3 x - 16 + 88 ÷ 8 + [tex] 3^{2} [/tex]
49 + 3 x -16 + 88 ÷ 8 + [tex] 3^{2} [/tex]
49 + 3 x - 16 + 88 ÷ 8 + 9
49 - 48 + 88 ÷ 8 + 9
49 - 48 + 11 + 9
= 21
Your answer is 21.
Brainliest please?
because his goal is to bike 65 miles over the four days what equation can be used to find the number of miles he should bike on the first day
Answers
Answer: 16.25
[tex]y = 65 \div 4[/tex]
A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers.Which statement is true?
P(green)≈0.21P(blue)≈0.41P(orange)≈0.
Answers
# green = 20
# orange = 44
# blue = 30
Total = 20 + 44 + 30 = 94
[tex]P(green) = \frac{20}{94} = 0.212 [/tex]
[tex]P(orange) = \frac{44}{94} = 0.468[/tex]
[tex]P(blue) = \frac{30}{94} = 0.319[/tex]
The one that matches is A
20 PTS! What are the different shapes of a data set? Explain left and right skew and how this affects the mean of a data set.
Thanks, any help is much appreciated! :)
Answers
When the data is skewed right or left, the pictorial representation of the data will show less data points on the side where it is skewed and more data on the opposite side. The tail will be longer on the right if it is skewed right and vice versa.
In data that is skewed right, the mean will be greater than the median and if the data is skewed left, the mean will be less than the median. Tje mean is not the measure of center when the data is skewed.
Which of the following statements contain a variable?all that apply
A.there are 60 second in a minute
B.he is year old
C.double the number of pages in the book
D.the age of my friend
Answers
Gotta write more for the 20 characters limit
It costs $7.00 to play a very simple game in which a dealer gives you one card from a deck of 52 cards. if the card is a heart, spade, or diamond, you lose. if the card is a club other than the queen of clubs, you win $11.50. if the card is the queen of clubs, you win $50.00. the random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. what is the mean of x, rounded to the nearest penny?
a. $3.38
b. −$3.62
c. −$3.38
d. $3.62
Answers
If the card is a heart, spade, or diamond, you lose.
If the card is a club other than the queen of clubs, you win $11.50.
If the card is the queen of clubs, you win $50.00.
The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?
------
Random "winnings"::.....-7.......4.50......43
Probabilities::........ 39/52....12/52....1/52
------------------------------------------------------
u(x) = [39*-7 + 12*4.5 + 43]/52 = -$3.38
What is the greatest fraction you can make using the digits 4, 7, and 9?
Answers
Answer:
(7^9)/4 = 40,353,607/4
Step-by-step explanation:
Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.
__
If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,
(7!)^(9!)/4 has about 1 million digits
something like ...
((7!)^(9!))!/4 has many more digits than that
and you can keep piling on the factorial symbols to any desired depth.
Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each month to cover her car insurance? $13 $26 $39 $52
Answers
[tex]\left[\begin{array}{ccc}A&13&-\\B&26&-\\C&39&-\\D&52&Correct\end{array}\right][/tex]
Jan saw 9 full moons in 252 how do I write this in a ratio
Answers
Im sure the 252 means the days.
1,600 principal earning 7%, compounded annually, after 33 years
Answers
Draw three dimes 1 nickel and 2 pennies. Describe how to count on to find the total value of this group of coins
Answers
The total value of this group of coins can be found by first counting the value of each type of coin, and then adding them all together. The value of a dime is 10 cents, so if there are three dimes, the total value is 30 cents. The value of a nickel is 5 cents, so if there is one nickel, the total value is 5 cents. The value of a penny is 1 cent so if there are two pennies, the total value is 2 cents. After adding 30 + 5 + 2, the total comes to $0.37.
A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip. For how many hours did the trucker travel?
Answers
Answer: The trucker traveled for 12 hours.
Step-by-step explanation:
Given : A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip.
i.e. Total distance = 583.2 miles
Average speed = 48.6 miles per hour
Using Formula , [tex]\text{Total Time}=\dfrac{\text{Total Distance}}{\text{Average speed}}[/tex]
We have
[tex]\text{Total Time}=\dfrac{583.2}{48.6}\\\\=\dfrac{5832}{486}\\\\=12\text{ hours}[/tex]
Hence, the trucker traveled for 12 hours.
A $65 coat is now on sale for $52. What percent discount is given?
Answers
because if 65 is 100,
52 is 80% out of 65
so 100 - 80 is 20
What is 0.125 Point rounded to the nearest hundredth
Answers
0.13
0.125 rounded to the nearest hundredth is 0.13.
We have,
To round to the nearest hundredth, we look at the digit in the thousandth place, which is 5.
Since 5 is greater than or equal to 5, we round up the hundredth digit (2) by increasing it by 1.
Therefore,
0.125 rounded to the nearest hundredth is 0.13.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
What is the area of this trapezoid? 96 in² 132 in² 168 in² 1344 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 3 inches, F E is 8 inches., E C is 3 inches., E B is 12 inches., and A B is 8 inches.
Answers
132 〖in〗^2
Explanation
Although the diagram was not given, I was able to get it in the internet.
The area of a trapezium is found by the use of the following formula:
Area =1/2 h(a+b)
Where h is perpendicular distance between the two parallel lines, while a and b is are the lengths of the parallel lines.
In this question;
h=12 in
a=8 in
b=3+8+3=14 in
Area =1/2×12(8+14)
=6×22
132 〖in〗^2
Answer:
Option B. 132 inch²
Step-by-step explanation:
Since we know the formula to calculate the area of trapezoid is = [tex]\frac{1}{2}(height)(base)[/tex]
where height of the given trapezoid ABCD is side BE and two parallel sides are AB and DC.
It's given in the question
Side BE = 12 inches
AB = 8 inches
DC = (DF + FE + EC) = (3 + 8 + 3) = 14 inches
Now we put these values in the formula
Area of trapezoid ABCD = [tex]\frac{1}{2}(AB+CD).(BE) = \frac{1}{2}(8 + 14).(12)=\frac{1}{2}(22)(12)=(11).(12)=132[/tex]
Therefore answer is Option B. 132 inch²
The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring. (1 point)
Answers
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4
Answer:
c 2x+5 and 3x-4
Step-by-step explanation:
Which of the following are equivalent to 85%? 0.085, 0.85, 85/100, 19/20 ? chose all that apply?
Answers
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 1515 in. by 99 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume.
Answers
Please, see the attached files.
Thanks
you have a piggy bank containing a total of 93 coins in dimes and quarters. If the piggy bank contains $14.85, how many dimes are there in piggy bank
Answers
Let q = number of quarters.
The total number of coins is 93, so the first equation is
d + q = 93
The value of 1 dime is $0.10. The value of 1 quarter is $0.25.
d dimes are worth 0.1d, and q quarters are worth 0.25q.
The total value of the coins is $14.85, so that gives us our second equation.
0.1d + 0.25q = 14.85
Now we have a system of two equations in two unknowns.
d + q = 93
0.1d + 0.25q = 14.85
Rewrite the first equation. Then multiply both sides of the second equation by -10, and write it underneath. Then add the equations.
d + q = 93
-d - 2.5q = -148.5
------------------------
-1.5q = -55.5
Divide both sides by -1.5.
q = 37
Now substitute 37 for q in the first original equation and solve for d.
d + q = 93
d + 37 = 93
Subtract 37 from both sides.
d = 56
Answer: There are 56 dimes in the piggy bank.
CAN SOMEONE HELP PLZ AND EXPLAIN BEC IF DONT DO GOOD I CANT GO TO MY DADS HOUSE THIS WEEK END
Answers
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
[tex]A = a^{2} [/tex]
[tex]144 = a^{2} [/tex]
[tex] \sqrt{144} = a[/tex]
[tex]12 = a[/tex]
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
Mr,angelo sliced two pizzas into equal parts,what fraction greater than 1 names both pizzas
Answers
[tex]Number \ of \ pizzas=2[/tex]
Each pizza is sliced as shown in the figure below, so we can write the new number of pizzas as follows:
[tex]Number \ of \ pizzas=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}[/tex]
But the problem is asking for a fraction greater than 1 to name both pizzas, then:
[tex]Number \ of \ pizzas=\frac{4}{2} \ or \ \frac{2}{1}[/tex]
if you live 1 mile from work and can walk 4mph how long will it take you to get to work
Answers
1 mile = 1/4 hour
1/4 hour = 15 mins
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Answer: It takes you 15 mins to walk to work
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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it. Always Sometimes Never
Answers
The ratio of the areas of two similar polygons can be found by squaring the ratio of their perimeters or corresponding linear dimensions, but this method only works sometimes, specifically with similar polygons, and not with non-similar ones.
The ratio of the areas of two similar polygons is indeed found by taking the ratio of their corresponding linear dimensions and squaring it. This is because the area is a two-dimensional measurement, whereas perimeter and linear dimensions are one-dimensional. For similar polygons, which are polygons that have the same shape but may have different sizes, any linear dimensions (such as sides, perimeters, diagonals) are proportional.
When you have two similar polygons and you know the ratio of their perimeters, you can use this perimeter ratio to find the ratio of their corresponding side lengths since the ratio of the perimeters of similar polygons is equal to the ratio of their corresponding linear dimensions. After finding this linear ratio, you square it to obtain the ratio of their areas because if one dimension is multiplied by a scale factor 's', the area is multiplied by 's' squared (scale factor squared).
It is important to note, however, that this rule only applies to similar polygons (similarity) and not to polygons that aren't similar, since non-similar polygons do not have a constant ratio of corresponding linear dimensions. Therefore, to answer the original question, the method works sometimes, specifically when dealing with similar polygons.
ten less than triple a number is 21
Answers
Hope this helps
rose rode the roller coaster 9 times. Leila rode the roller 6 less times than Rose. Joseph rose roller coaster 5 times as many as Leila. how many times did Joseph ride the roller coaster?
Answers
Because - 9 - 6 = 3 x 5 = 15
For a class gardening project, 1/3 of Mrs. Montoya's students planted marigolds and 1/2 planted tulips. What fraction of the class planted either marigolds or tulips?
Answers
To find the total fraction of the class that selected both marigolds and tulips, we need to add the two fractions together.
1/3 + 1/2 = 2/6 + 3/6
2/6 + 3/6 = 5/6
Hope this helps!
Help me with this question pleaseeee!!!
Answers
the measure of angle ∅=7*pi/6
the measure of its reference angle is?
remember that pi=180°
then
7*pi/6=7*180/6=210°------------> III Quadrant
Part A) its reference angle is 210°-180°=30°
Part B) sin(30°)=-0.5--------> negative because belongs III quadrant