Find f(g(x)) f(x)=4x g(x)=x-3

$f (x) = 4 x$ $g (x) = x - 3$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

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

Step 3

Apply the distributive property.

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

Step 4

Multiply $4$ by $- 3$ .

$f (x - 3) = 4 x - 12$