Find g(f(x)) f(x)=4/(x-9) g(x)=3/x

$f (x) = \frac{4}{x - 9}$ $g (x) = \frac{3}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{4}{x - 9})$ by substituting in the value of $f$ into $g$ .

$g (\frac{4}{x - 9}) = \frac{3}{\frac{4}{x - 9}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{4}{x - 9}) = 3 (\frac{x - 9}{4})$

Step 4

Combine $3$ and $\frac{x - 9}{4}$ .

$g (\frac{4}{x - 9}) = \frac{3 (x - 9)}{4}$