Precalculus Examples

$f (x) = \sqrt{x - 6}$ , $g (x) = 8 x - 8$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\sqrt{x - 6})$ by substituting in the value of $f$ into $g$ .

$g (\sqrt{x - 6}) = 8 (\sqrt{x - 6}) - 8$

Step 3

Multiply $8$ by $\sqrt{x - 6}$ .

$g (\sqrt{x - 6}) = 8 \sqrt{x - 6} - 8$