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

a. h(x) = 0

b. h(x) = -3^2x

c. h(x) = 2(3^2x)

d. h(x) = 3^x (2 - 3^x)

D

Step-by-step explanation:

Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost. The expression f(x) ∘ g(x) means f(g(x)).

Let f(x) = x(2 - x) and g(x) = 3^x.

Begin by substituting g(x) in for x in f(x).

The solution is D.

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b

step-by-step explanation: