Find g(h(x)) g(x)=3x h(x)=x-4

$g (x) = 3 x$ $h (x) = x - 4$

Set up the composite result function.

$g (h (x))$

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

$g (x - 4) = 3 (x - 4)$

Apply the distributive property.

$g (x - 4) = 3 x + 3 \cdot - 4$

Multiply $3$ by $- 4$ .

$g (x - 4) = 3 x - 12$