Precalculus Examples

$f (x) = 3 x^{2} - x - 8$ $g (x) = x + 5$ Find: $g (f (x))$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (3 x^{2} - x - 8)$ by substituting in the value of $f$ into $g$ .

$g (3 x^{2} - x - 8) = (3 x^{2} - x - 8) + 5$

Step 3

Add $- 8$ and $5$ .

$g (3 x^{2} - x - 8) = 3 x^{2} - x - 3$