Find f(g(x)) f(x)=x/2 g(x)=2x

$f (x) = \frac{x}{2}$ $g (x) = 2 x$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

$f (2 x) = \frac{2 x}{2}$

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

$f (2 x) = \frac{2 x}{2}$

Divide $x$ by $1$ .

$f (2 x) = x$