How do you confirm that f and g are inverses by showing that f(g(x))=x and g(f(x))=x ?

Question

Problem: f(x)=3x-2 and g(x)= x+2
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3

Please help, don't know where to begin?

Answer 1

I will do the first
f(g(x))=f(x+2)=(3(x+2)-2)=6x+4 Hmmmm.
g(f(x))=g(3x-2)=3x-2+2=3x

What makes you think they are inverses?

Answer 2

I didn't see the denominator because of the margin. So do it the way I did, (Put the denominator in), and if they are inverses, both will equal x.