Calculus Examples

$f (x) = x - 1$ , $g (x) = \sqrt{x + 2}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\sqrt{x + 2})$ by substituting in the value of $g$ into $f$ .

$f (\sqrt{x + 2}) = (\sqrt{x + 2}) - 1$

Step 3

Remove parentheses.

$f (\sqrt{x + 2}) = \sqrt{x + 2} - 1$