Find f(g(x)) f(x)=2x g(x)=-4x+5

$f (x) = 2 x$ $g (x) = - 4 x + 5$

Set up the composite result function.

$f (g (x))$

Evaluate $f (- 4 x + 5)$ by substituting in the value of $g$ into $f$ .

$f (- 4 x + 5) = 2 (- 4 x + 5)$

Apply the distributive property.

$f (- 4 x + 5) = 2 (- 4 x) + 2 \cdot 5$

Multiply.

Multiply $- 4$ by $2$ .

$f (- 4 x + 5) = - 8 x + 2 \cdot 5$

Multiply $2$ by $5$ .

$f (- 4 x + 5) = - 8 x + 10$