Find g(f(x)) f(x) = square root of x+3 , g(x)=x+4

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

Remove parentheses.

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