Consider the functions $$ f(x)=3 x-12 $$ and $$ g(x)=\frac{x}{3}+4 $$. (a) Find $$ f(g(x)) $$. (b) Find $$ g(f(x)) $$. (c) Determine whether the functions $$ f $$ and $$ g $$ are inverses of each other. (a) What is $$ f(g(x)) $$ ? $$ f(g(x))=x $$ (Simplify your answer.) Give any values of $$ x $$ that need to be excluded from $$ f(g(x)) $$. Select the correct choice below and fill in any answer boxes within your choice. A. $$ x
eq $$ (Use a comma to separate answers as needed.) B. No values should be excluded from the domain.

Question

Consider the functions $$ f(x)=3 x-12 $$ and $$ g(x)=\frac{x}{3}+4 $$. (a) Find $$ f(g(x)) $$. (b) Find $$ g(f(x)) $$. (c) Determine whether the functions $$ f $$ and $$ g $$ are inverses of each other. (a) What is $$ f(g(x)) $$ ? $$ f(g(x))=x $$ (Simplify your answer.) Give any values of $$ x $$ that need to be excluded from $$ f(g(x)) $$. Select the correct choice below and fill in any answer boxes within your choice. A. $$ x 
eq $$ (Use a comma to separate answers as needed.) B. No values should be excluded from the domain.

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(a) $$ f(g(x)) = x $$ B. No values should be excluded from the domain.

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