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

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

Answer 2

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

Step-by-step explanation:

Here the given functions are,

$f(x) = x(2-x)$

$g(x) = 3x$

$h(x) = f(x) \circ g(x) = (f\circ g)(x) = f[g(x)]$

$= f( 3x )$

$= (3x)[2-(3x)]$

$= 3x(2-3x)$

Hence,

$h(x) = 3x(2-3x)$

⇒ Fourth option is correct.