Help to solve the pair of functions to find f(g(x)) and g(f(x))

Question

Use the pair of functions to find f(g(x))

 and g(f(x)).

 Simplify your answers.

f(x) = x2 + 6,     g(x) = x+4

x + 4

Answer 1

f(g(x)) = f(sqr(2+4)) = [sqr(2+4)]^2 + 6 = 2+4 + 6 = 12

g(f(x)) = g(x^2+6) =sqr(x^2+6) + 4