Function Inverses

Question 1

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

Revolt · Accepted Answer

B: mc005-6.jpg

Question 2

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

D: (3, 3)

Question 3

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

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

Question 4

If , what is ?

Revolt · Accepted Answer

C: mc002-5.jpg

Question 5

Which function has an inverse that is also a function?

Revolt · Accepted Answer

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

Question 6

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

Revolt · Accepted Answer

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

Question 7

Which function is the inverse of ?

Revolt · Accepted Answer

B: mc013-3.jpg

Question 8

Which function has an inverse that is a function?

Revolt · Accepted Answer

C: m(x) = –7x

Question 9

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

Revolt · Accepted Answer

C: mc010-7.jpg

Question 10

The function f(x) is shown below.xf(x)–61–32255380If g(x) is the inverse of f(x), what is the value of f(g(2))?

Revolt · Accepted Answer

C: 2

Function Inverses Answers