Find g(f(x)) f(x) = square root of x-5 , g(x)=(x+2)/3

$f (x) = \sqrt{x - 5}$ , $g (x) = \frac{x + 2}{3}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\sqrt{x - 5})$ by substituting in the value of $f$ into $g$ .

$g (\sqrt{x - 5}) = \frac{(\sqrt{x - 5}) + 2}{3}$

Step 3

Remove parentheses.

$g (\sqrt{x - 5}) = \frac{\sqrt{x - 5} + 2}{3}$