Question

Let f(x) = 3x+2 and g(x) = x^2

Part 1 Find f(g(x))
Part 2 Find g(f(x))

Answer 1

f(x) = 4x+2
g(x) = x^2
f(g(x)) = f(x^2)
g(f(x)) = g( 3x+2)

Answer 2

f(g(x))

f(g(x)) = 3(x^2) + 2
= 3x^2 + 2

g(f(x)) = (3x+2)^2
= 9x^2 + 12x + 4