Find g(f(x)) f(x)=x-5 g(x)=x-3

$f (x) = x - 5$ $g (x) = x - 3$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (x - 5) = (x - 5) - 3$

Step 3

Subtract $3$ from $- 5$ .

$g (x - 5) = x - 8$