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

Question

algol13

3 months ago

5

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

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-02-22T22:46:44+03:00

zzz [12.3K]3 months ago

7 0

Her conclusion is incorrect. She neglected to compute g composed with f. To confirm that two functions are inverses, one must demonstrate that g(f(x)) = x. Since g(f(x)) results in -x, it follows that these functions are not inverses.

zzz [12.3K] · Answer 2 · 2026-02-22T22:45:36+03:00

zzz [12.3K]3 months ago

6 0

I hope this information is useful to you..;