Answer:
They are inverse functions because f(g(x)) = x and g(f(x))=x
Explanation:
f(x) = 3x - 2
g(x) = (x+2)/3
f(g(x)) = 3((x+2)/3) -2
= x + 2 - 2
f(g(x)) = x
g(f(x)) = ((3x - 2) + 2)/3
= (3x -2 + 2)/3
= 3x/3
g(f(x)) = x
Hence they are inverse functions.