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kondaur [170]
2 years ago
15

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:
valentina_108 [34]2 years ago
7 0

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

faust18 [17]2 years ago
4 0
For the answer to the question above asking, do you agree with Danika that she<span> concludes that the following functions are inverses of each other because f(g(x)) = x.?

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