Find f(g(x)) f(x)=9/x g(x)=9/x

$f (x) = \frac{9}{x}$ $g (x) = \frac{9}{x}$

Set up the composite result function.

$f (g (x))$

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

$f (\frac{9}{x}) = \frac{9}{\frac{9}{x}}$

Multiply the numerator by the reciprocal of the denominator.

$f (\frac{9}{x}) = 9 (\frac{x}{9})$

Cancel the common factor of $9$ .

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Cancel the common factor.

$f (\frac{9}{x}) = 9 (\frac{x}{9})$

Rewrite the expression.

$f (\frac{9}{x}) = x$

Find f(g(x)) f(x)=9/x g(x)=9/x