Find h(g(x)) g(x)=9+4x h(x)=(x+21)/5

$g (x) = 9 + 4 x$ $h (x) = \frac{x + 21}{5}$

Set up the composite result function.

$h (g (x))$

Evaluate $h (9 + 4 x)$ by substituting in the value of $g$ into $h$ .

$h (9 + 4 x) = \frac{(9 + 4 x) + 21}{5}$

Simplify the numerator.

Add $9$ and $21$ .

$h (9 + 4 x) = \frac{4 x + 30}{5}$

Factor $2$ out of $4 x + 30$ .

Factor $2$ out of $4 x$ .

$h (9 + 4 x) = \frac{2 (2 x) + 30}{5}$

Factor $2$ out of $30$ .

$h (9 + 4 x) = \frac{2 (2 x) + 2 (15)}{5}$

Factor $2$ out of $2 (2 x) + 2 (15)$ .

$h (9 + 4 x) = \frac{2 (2 x + 15)}{5}$