Find f(g(x)) f(x)=-3x g(x)=-x+8

$f (x) = - 3 x$ $g (x) = - x + 8$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (- x + 8)$ by substituting in the value of $g$ into $f$ .

$f (- x + 8) = - 3 (- x + 8)$

Step 3

Apply the distributive property.

$f (- x + 8) = - 3 (- x) - 3 \cdot 8$

Step 4

Multiply.

Multiply $- 1$ by $- 3$ .

$f (- x + 8) = 3 x - 3 \cdot 8$

Multiply $- 3$ by $8$ .

$f (- x + 8) = 3 x - 24$