Find g(f(x)) f(x)=x/4 , g(x)=4x

$f (x) = \frac{x}{4}$ , $g (x) = 4 x$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{x}{4})$ by substituting in the value of $f$ into $g$ .

$g (\frac{x}{4}) = 4 (\frac{x}{4})$

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

$g (\frac{x}{4}) = 4 (\frac{x}{4})$

Rewrite the expression.

$g (\frac{x}{4}) = x$