Precalculus Examples

$g (x) = x - 3$ $f (x) = - 2 x + 2$ Find $g (f (x))$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (- 2 x + 2) = (- 2 x + 2) - 3$

Step 3

Subtract $3$ from $2$ .

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