Quiz about Inverses Review

Question 1

Which pair of graphs are inverses?

Accepted Answer

Question 2

A function contains the point $$\left(-5,2\right)$$ . What point must be included on its inverse?

Accepted Answer

$$\left(2,-5\right)$$

Answer

$$\left(5,-2\right)$$

Answer

$$\left(-5,2\right)$$

Answer

$$\left(-2,5\right)$$

Question 3

What's the name of the inverse of g(x)?

Accepted Answer

g-1(x)

Answer

f(x)

Answer

f-1(x)

Answer

y

Question 4

are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 5

are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 6

When two functions are inverses of each other, their graphs are reflective over...

Accepted Answer

y=x

Answer

x-axis

Answer

y-axis

Question 7

Find the inverse of $$f\left(x\right)=\sqrt{x}+8$$

Accepted Answer

$$f^{-1}\left(x\right)=\left(x-8\right)^2$$

Answer

$$f^{-1}\left(x\right)=x^2+8$$

Answer

$$f^{-1}\left(x\right)=x^2-8$$

Answer

$$f^{-1}\left(x\right)=\left(x+8\right)^2$$

Question 8

Are these inverse functions

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 9

$$f\left(x\right)=5x+1$$
Find the inverse

Accepted Answer

$$\frac{x-1}{5}$$

Answer

$$\frac{x-5}{1}$$

Answer

$$\frac{x}{5}-1$$

Answer

$$x-\frac{1}{5}$$

Question 10

$$f\left(x\right)=\frac{3x+10}{7}$$
Find $$f^{-1}\left(x\right)$$

Accepted Answer

$$\frac{7x-10}{3}$$

Answer

$$7x-\frac{10}{3}$$

Answer

$$\frac{7x}{3}-10$$

Answer

$$\frac{7\left(x-10\right)}{3}$$

Question 11

Find the inverse of

f(x)= $$\sqrt[]{x}-3$$

Accepted Answer

f^-1(x)= $$\left(x+3\right)^2$$

Answer

f(x)=x+3

Answer

f^-1(x)=x+x

Answer

f^-1(x)=x+5

Question 12

Which is the inverse of the table?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 13

Find the inverse of $$f\left(x\right)=12x-3$$

Accepted Answer

$$f^{-1}\left(x\right)=\frac{x+3}{12}$$

Answer

$$f^{-1}\left(x\right)=\frac{x-3}{12}$$

Answer

$$f^{-1}\left(x\right)=\frac{x+12}{3}$$

Answer

$$f^{-1}\left(x\right)=\frac{x-12}{3}$$

Question 14

Find the inverse of $$f\left(x\right)=\left(x-6\right)^2$$

Accepted Answer

$$f^{-1}\left(x\right)=\sqrt{x}+6$$

Answer

$$f^{-1}\left(x\right)=\sqrt{x+6}$$

Answer

$$f^{-1}\left(x\right)=\sqrt{x}-6$$

Answer

$$f^{-1}\left(x\right)=\sqrt{x-6}$$

Question 15

Was the inverse function found correctly?

Accepted Answer

no

Answer

yes

Question 16

a function and its inverse function have what property found in tables?

Accepted Answer

switch the x and y values

Answer

the x and y values become negative

Answer

the x values become positive and the y values become negative

Answer

the x and y values stay the same

Question 17

the opposite of a square ( $$x^2$$ ) is the following

Accepted Answer

square root

Answer

divide by 2

Answer

exponent of 2

Answer

multiply by 2

Question 18

How can we determine that $$f^{-1}\left(x\right)$$ is the inverse of f(x)?

Accepted Answer

because the graphs are reflected across y=x

Answer

because the x values become negative

Answer

because the graphs are rotated around the y - axis

Answer

because the graphs are translated 2 units down

Inverses Review

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