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

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

Set up the composite result function.

$g (f (x))$

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

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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