Function Inverses

Question 1

Select each graph that shows a function and its inverse.

Revolt · Accepted Answer

mr001-1.jpg; mr001-4.jpg

Question 2

The graph of an inverse is the reflection of the graph of the function over the line .

Revolt · Accepted Answer

x = 0

Question 3

The composition of a function and its inverse is always –10✔ xy.

Revolt · Accepted Answer

x

Question 4

The range values of an inverse are the values of the original function.

Revolt · Accepted Answer

domain

Question 5

If the graph of an inverse passes the , you know that the inverse is a function.

Revolt · Accepted Answer

origin

Question 6

Question 7

Revolt · Accepted Answer

1/4; 3

Question 7

f(x) = 4x − 12 f−1(x) = x +

Revolt · Accepted Answer

Part 1: 1/4; Part 2: 3

Question 8

Identify the inverse g(x) of the given relation f(x).f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

Revolt · Accepted Answer

g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Question 9

a = b = c = d = e =

Revolt · Accepted Answer

Part 1: -1; Part 2: 0; Part 3: 3; Part 4: -1; Part 5: 2

Question 10

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Revolt · Accepted Answer

No. His rearrangement is correct, but he must switch x and y to write the inverse: f⁻¹(x) = (x - 4)/-8 = (4 - x)/8.

Function Inverses Answers