Function Inverses

Question 1

Sample Response: She is not correct. She forgot to do g compose f. To verify that functions are inverses of each other, you must also show that g(f(x)) = x. Because g(f(x)) = -x, the functions are not inverses of each other. Compare your response to the sample response above. What did you include in your explanation?that Danika needs to find g compose fthat g(f(x)) must also equal xthat g(f(x)) = –x

Revolt · Accepted Answer

that Danika needs to find g compose f; that g(f(x)) must also equal x; that g(f(x)) = –x

Question 2

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 3

Choose a true statement.

Revolt · Accepted Answer

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

Function Inverses Answers

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