Find g(f(x)) f(x)=8x-1 g(x)=2x

$f (x) = 8 x - 1$ $g (x) = 2 x$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (8 x - 1)$ by substituting in the value of $f$ into $g$ .

$g (8 x - 1) = 2 (8 x - 1)$

Step 3

Apply the distributive property.

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

Step 4

Multiply.

Multiply $8$ by $2$ .

$g (8 x - 1) = 16 x + 2 \cdot - 1$

Multiply $2$ by $- 1$ .

$g (8 x - 1) = 16 x - 2$