Find f(g(x)) f(x) = square root of x-3 , g(x) = square root of x+2

$f (x) = \sqrt{x - 3}$ , $g (x) = \sqrt{x + 2}$

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 $f$ .

$f (\sqrt{x + 2}) = \sqrt{(\sqrt{x + 2}) - 3}$

Step 3

Remove parentheses.

$f (\sqrt{x + 2}) = \sqrt{\sqrt{x + 2} - 3}$