Answer
$\frac{2x(x-9)}{(x-4)(x-9)}$
Work Step by Step
Step 1. Based on the given domain, we can write the denominator as $(x-4)(x-9)$ Step 2. The numerator should contain $(x-9)$ because $x=9$ is not an asymptote.
Step 3. As $y=2$ is an asymptote, we can write one possible answer as $f(x)=\frac{2x(x-9)}{(x-4)(x-9)}$
