Find f(g(x)) f(x)=2/x g(x)=2/x

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

Set up the composite result function.

$f (g (x))$

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

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

Multiply the numerator by the reciprocal of the denominator.

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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