Find h(g(x)) h(x)=4x-1 g(x)=2x+2

$h (x) = 4 x - 1$ $g (x) = 2 x + 2$

Set up the composite result function.

$h (g (x))$

Evaluate $h (2 x + 2)$ by substituting in the value of $g$ into $h$ .

$h (2 x + 2) = 4 (2 x + 2) - 1$

Simplify each term.

Apply the distributive property.

$h (2 x + 2) = 4 (2 x) + 4 \cdot 2 - 1$

Multiply $2$ by $4$ .

$h (2 x + 2) = 8 x + 4 \cdot 2 - 1$

Multiply $4$ by $2$ .

$h (2 x + 2) = 8 x + 8 - 1$

Subtract $1$ from $8$ .

$h (2 x + 2) = 8 x + 7$