Need algebra help to Find f(g(x)) and g(f(x)), then determine if f and; g are inverses of each other

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Question Description

Borys_S
School: Cornell University

Hello!

(a)  f(g(x)) = 3/(g(x)) = 3/(-3/x) = -x,

g(f(x)) = -3/(f(x)) = -3/(3/x) = -x.

Not inverse, for inverse the result must be x.

(b)  f(g(x)) = g(x)+2 = (x-2)+2 = x,

g(f(x)) = f(x) - 2 = (x+2)-2 = x.

Yes, inverse.

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Anonymous
Excellent job

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