Find g(f(x)) f(x)=1/(x-10) , g(x)=1/x

$f (x) = \frac{1}{x - 10}$ , $g (x) = \frac{1}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{1}{x - 10})$ by substituting in the value of $f$ into $g$ .

$g (\frac{1}{x - 10}) = \frac{1}{\frac{1}{x - 10}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{1}{x - 10}) = 1 (x - 10)$

Step 4

Multiply $x - 10$ by $1$ .

$g (\frac{1}{x - 10}) = x - 10$