Precalculus Examples

$f (x) = x^{2} - 5 x - 9$ $g (x) = x - 14$ Find: $((g \circ f)) (x)$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{2} - 5 x - 9)$ by substituting in the value of $f$ into $g$ .

$g (x^{2} - 5 x - 9) = (x^{2} - 5 x - 9) - 14$

Step 3

Subtract $14$ from $- 9$ .

$g (x^{2} - 5 x - 9) = x^{2} - 5 x - 23$