Function Inverses

Question 1

If and , which expression could be used to verify that is the inverse of ?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-05/mc010-7.jpg

Question 2

If and are inverse functions of each other and , what is ?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-05/mc005-6.jpg

Question 3

If and , which expression could be used to verify g(x) is the inverse of f(x)?

Revolt · Accepted Answer

One-fifth (5 x minus 25) + 5

Question 4

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

Revolt · Accepted Answer

f(x) is a one-to-one function.

Question 5

Which function has an inverse that is also a function?

Revolt · Accepted Answer

{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

Question 6

If , what is ?

Revolt · Accepted Answer

mc002-5.jpg

Question 7

The function h(x) is given below.h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}Which of the following gives h–1(x)?

Revolt · Accepted Answer

{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

Question 8

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

Revolt · Accepted Answer

(3, 3)

Question 9

Which function has an inverse that is a function?

Revolt · Accepted Answer

m(x) = –7x

Question 10

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

Revolt · Accepted Answer

The graph of h(x) passes the horizontal line test.

Function Inverses Answers