Find f(g(x)) f(x)=1/x , g(x)=1/x

$f (x) = \frac{1}{x}$ , $g (x) = \frac{1}{x}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{1}{x})$ by substituting in the value of $g$ into $f$ .

$f (\frac{1}{x}) = \frac{1}{\frac{1}{x}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$f (\frac{1}{x}) = 1 x$

Step 4

Multiply $x$ by $1$ .

$f (\frac{1}{x}) = x$