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

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

Set up the composite result function.

$f (g (x))$

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

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

Multiply the numerator by the reciprocal of the denominator.

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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