Question

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

Answer 1

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.

Step-by-step explanation:

sample response on edge2020

Answer 2

For the answer to the question above asking, do you agree with Danika that she concludes that the following functions are inverses of each other because f(g(x)) = x.?

No because,
f(g(x) = |g(x)| = |-x| = |x| ≠ x
g(f(x)) = - |x| ≠ x
I hope my answer helped