Precalculus Examples

$f (x) = x^{2} + 6 x + 7$ $g (x) = x + 2$ Find: $g (f (x))$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{2} + 6 x + 7)$ by substituting in the value of $f$ into $g$ .

$g (x^{2} + 6 x + 7) = (x^{2} + 6 x + 7) + 2$

Step 3

Add $7$ and $2$ .

$g (x^{2} + 6 x + 7) = x^{2} + 6 x + 9$