Find g(f(x)) f(x)=8/(x-3) , g(x)=1/x

$f (x) = \frac{8}{x - 3}$ , $g (x) = \frac{1}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{8}{x - 3})$ by substituting in the value of $f$ into $g$ .

$g (\frac{8}{x - 3}) = \frac{1}{\frac{8}{x - 3}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{8}{x - 3}) = 1 (\frac{x - 3}{8})$

Step 4

Multiply $\frac{x - 3}{8}$ by $1$ .

$g (\frac{8}{x - 3}) = \frac{x - 3}{8}$