Algebra Examples

$g (x) = 4 x^{2}$ $h (x) = 3 x$

Step 1

Set up the composite result function.

$g (h (x))$

Step 2

Evaluate $g (3 x)$ by substituting in the value of $h$ into $g$ .

$g (3 x) = 4 {(3 x)}^{2}$

Step 3

Apply the product rule to $3 x$ .

$g (3 x) = 4 (3^{2} x^{2})$

Step 4

Raise $3$ to the power of $2$ .

$g (3 x) = 4 (9 x^{2})$

Step 5

Multiply $9$ by $4$ .

$g (3 x) = 36 x^{2}$