Find f(g(x)) f(x)=5/x , g(x)=5/x

$f (x) = \frac{5}{x}$ , $g (x) = \frac{5}{x}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{5}{x})$ by substituting in the value of $g$ into $f$ .

$f (\frac{5}{x}) = \frac{5}{\frac{5}{x}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$f (\frac{5}{x}) = 5 (\frac{x}{5})$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$f (\frac{5}{x}) = 5 (\frac{x}{5})$

Rewrite the expression.

$f (\frac{5}{x}) = x$