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

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

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x + 4)$ by substituting in the value of $g$ into $f$ .

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

Step 3

Simplify each term.

Apply the distributive property.

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

Multiply $4$ by $4$ .

$f (x + 4) = 4 x + 16 + 3$

Step 4

Add $16$ and $3$ .

$f (x + 4) = 4 x + 19$