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 , 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 3

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 4

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

2

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

Which function has an inverse that is also a function?

Revolt · Accepted Answer

{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Question 7

Which graph shows a function whose inverse is also a function?

Revolt · Accepted Answer

On a coordinate plane, 2 curves are shown. f (x) is a curve that starts at (0, 0) and opens down and to the right in quadrant 1. The curve goes through (4, 2). The inverse of f (x) starts at (0, 0) and curves up sharply and opens to the left in quadrant 1. The curve goes through (2, 4).

Question 8

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 9

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 10

Which function has an inverse that is a function?

Revolt · Accepted Answer

m(x) = –7x

Function Inverses Answers

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