Answer:
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).
[tex]f(g(x)) = (3^x)(2-(3^x))[/tex]
The solution is D.
