Find f(g(x)) f(x)=x/3 , g(x)=3x

$f (x) = \frac{x}{3}$ , $g (x) = 3 x$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (3 x)$ by substituting in the value of $g$ into $f$ .

$f (3 x) = \frac{3 x}{3}$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$f (3 x) = \frac{3 x}{3}$

Divide $x$ by $1$ .

$f (3 x) = x$