Question

Find the function h(x) = f(x) ∘ g(x) if f(x) = x(2 - x) and g(x) = 3x.

h(x) = 0
h(x) = -3^2x
h(x) = 2(3^2x)
h(x) = 3^x(2 - 3^x)

Answer 1

h(x) = f(x) times g(x)
= (x(2-x)) * (3x)
= (2x-x^2)(3x)
= 6x-3x^3 ⇒ answer to your question