Precalculus Examples

$f (x) = \sqrt{x + 4}$ , $g (x) = \sqrt{x - 3}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\sqrt{x - 3})$ by substituting in the value of $g$ into $f$ .

$f (\sqrt{x - 3}) = \sqrt{(\sqrt{x - 3}) + 4}$

Step 3

Remove parentheses.

$f (\sqrt{x - 3}) = \sqrt{\sqrt{x - 3} + 4}$