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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)

Respuesta :

zacksjob16
Did you write the problem down correctly? Because it looks to me like the answer should be h(x) = 32x.

Answer: h(x) = 3x(2 - 3x)

Step-by-step explanation:

Here the given functions are,

[tex]f(x) = x(2-x)[/tex]

[tex]g(x) = 3x[/tex]

[tex]h(x) = f(x) \circ g(x) = (f\circ g)(x) = f[g(x)][/tex]

[tex]= f( 3x )[/tex]

[tex]= (3x)[2-(3x)][/tex]

[tex]= 3x(2-3x)[/tex]

Hence,

[tex]h(x) = 3x(2-3x)[/tex]

⇒ Fourth option is correct.

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