if f(x) = x+4 and g(x)= x-4,

Question

(a) f(g(x))= _____

(b) g(f(x))= _____

(c) Thus g ( x ) is called an _____ function of f ( x )

Answer 1

f(g(x)) = (x - 4) + 4 = x

g(f(x)) = (x + 4) - 4 = x

Thus, g(x) is called an inverse function of f(x).