Question

If f(x) = x2 + 3x and g(x) = x + 2, find (f ∘ g)(x) and (g ∘ f)(x).

Answer 1

Answer:

(f ∘ g)(x) = x²+7x+10

(g ∘ f)(x) = x²+3x+2

Step-by-step explanation:

(f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² + 3(x+2) = x² + 4x + 4 + 3x + 6 = x² + 7x + 10

(g ∘ f)(x) = g(f(x)) = g(x²+3x) = (x²+3x) + 2 = x² + 3x + 2

Make sure to review composite functions