Find f(g(x)) f(x)=3x-4 , g(x)=x+2

$f (x) = 3 x - 4$ , $g (x) = x + 2$

Set up the composite result function.

$f (g (x))$

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

$f (x + 2) = 3 (x + 2) - 4$

Simplify each term.

Apply the distributive property.

$f (x + 2) = 3 x + 3 \cdot 2 - 4$

Multiply $3$ by $2$ .

$f (x + 2) = 3 x + 6 - 4$

Subtract $4$ from $6$ .

$f (x + 2) = 3 x + 2$