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

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{2} + 3)$ by substituting in the value of $f$ into $g$ .

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

Step 3

Remove parentheses.

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