Answer
$f(x)=\frac{-3x+6}{x-1}$
Work Step by Step
Step 1. Identify $x=1$ as a vertical asymptote, $y=-3$ as a horizontal asymptote.
Step 2. we can write a possible rational function as $f(x)=\frac{-3x+b}{x-1}$
Step 3. There is no x-intercept and the y-intercept is $f(0)=-6$, thus $\frac{-3(0)+b}{(0)-1}=-6$ and $b=6$
Step 4. The function is $f(x)=\frac{-3x+6}{x-1}$
