Find g(f(x)) f(x)=x+1 , g(x)=1/(x+3)

$f (x) = x + 1$ , $g (x) = \frac{1}{x + 3}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x + 1)$ by substituting in the value of $f$ into $g$ .

$g (x + 1) = \frac{1}{(x + 1) + 3}$

Step 3

Add $1$ and $3$ .

$g (x + 1) = \frac{1}{x + 4}$