Find g(f(x)) f(x)=3x+10 g(x)=x-2

$f (x) = 3 x + 10$ $g (x) = x - 2$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (3 x + 10)$ by substituting in the value of $f$ into $g$ .

$g (3 x + 10) = (3 x + 10) - 2$

Step 3

Subtract $2$ from $10$ .

$g (3 x + 10) = 3 x + 8$