Given f(x) = x 2 − 2x + 3, g(x) = 3x + 2. Find a) f(g(x)) b) (g ∘ f)(0)

Answer 1

f(x) = x² − 2x + 3

g(x) = 3x + 2

a) f(g(x)) = g(x)² - 2g(x) + 3 = (3x+2)² - 2(3x+2) + 3 = _____? (Multiply it out and combine like terms)

b) (g ∘ f)(0) = g(f(0))

f(0) = 0² - 2·0 + 3 = 3

g(f(0)) = g(3) = _____?