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) = -32x
~h(x) = 2(32x)
~h(x) = 3x(2 - 3x)

Answer 1

H (x) =
`3^(x)`(
`2-3 ^(x)`)

Explanation:

Answer 2

f(x) = x(2 - x)
g(x) = 3x
Substitute 3x for x in the function f(x)

h(x) = f(x) ∘ g(x) = f(g(x)) = 3x(2 - 3x)