Find g(f(x)) f(x)=8x+2 ; g(x)=4x

$f (x) = 8 x + 2$ ; $g (x) = 4 x$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (8 x + 2)$ by substituting in the value of $f$ into $g$ .

$g (8 x + 2) = 4 (8 x + 2)$

Step 3

Apply the distributive property.

$g (8 x + 2) = 4 (8 x) + 4 \cdot 2$

Step 4

Multiply.

Multiply $8$ by $4$ .

$g (8 x + 2) = 32 x + 4 \cdot 2$

Multiply $4$ by $2$ .

$g (8 x + 2) = 32 x + 8$