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

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

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 $g$ .

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

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$g (2 x) = x$