Find g(f(x)) f(x)=5x ; g(x)=x/5

$f (x) = 5 x$ ; $g (x) = \frac{x}{5}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (5 x)$ by substituting in the value of $f$ into $g$ .

$g (5 x) = \frac{5 x}{5}$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$g (5 x) = \frac{5 x}{5}$

Divide $x$ by $1$ .

$g (5 x) = x$