Find g(f(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.

$g (f (x))$

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

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

Multiply the numerator by the reciprocal of the denominator.

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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