Find f(g(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.

$f (g (x))$

Step 2

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

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

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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