How do you find (f\cdot g)(x) and (g\cdot f)(x) and

hvacwk 2021-12-16 Answered
How do you find (fg)(x) and (gf)(x) and determine if the given functions are inverses of each other f(x)=x23 and g(x)=x+3?
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Expert Answer

Timothy Wolff
Answered 2021-12-17 Author has 26 answers
To find f(g(x)) and g(f(x)) substitute, g(x) for x in f(x), and f(x) for x in g(x), respectively. If they are inverses, both substitutions will equal x.
Explanation:
f(g(x))=(x+3)23
f(g(x))=x+6x+93
f(g(x))=x+6x+6
g(f(x))=x23+3
They are not inverses, because both cases must reduce to x.

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Ella Williams
Answered 2021-12-18 Author has 28 answers
Couldnt

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