Question

if $g(x) = 2x$, and $h(x) = x^2$
$(h \circ g)(x) =$
$\bigcirc 2x^2$
$\bigcirc 2x^3$
$\bigcirc 4x^2$
$\bigcirc 4x^3$

Explanation:

Step1: Define composite function

$(h \circ g)(x) = h(g(x))$

Step2: Substitute $g(x)=2x$ into $h$

$h(g(x)) = h(2x)$

Step3: Apply $h(x)=x^2$

$h(2x) = (2x)^2 = 4x^2$

Answer:

○ $4x^2$