Verify that these are inverses

Question

f(x)=3x-2 g(x)=1/3x+2/3

find f(g(x)) and g(f(x))

Answer 1

f(g(x))= x = g(f(x)), so they are inverses

f(g(x)= 3(x/3 + 2/3)- 2 = x+2-2 = x

g(f(x))= (3x-2)/3+2/3 = x-2/3 +2/3 = x