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

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

Multiply $2$ by $- 4$ .

$g (2 x) = - 8 x + 5$