Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain your reasoning.f(x) = |x|g(x) = –x

Correct Answer:

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.