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)

asked Dec 7, 2019 79.1k views

4 votes

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)

6.3k points

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2 votes

Answer:

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

Explanation:

Andy A answered Dec 10, 2019

7.0k points

2 votes

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)

7.3k points

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