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

thoughts?

you are told that two functions are inverses if f(g(x)) = x. therefore, simply evaluate f(g(x)) using f(x) = |x| and g(x) = -x, and determine if the result is x or not.