Answer
vertical asymptote $x=6$,
horizontal asymptote $y=3$,
oblique asymptote $none$.
Work Step by Step
Step 1. Given $R(x)=\frac{3x+5}{x-6}$, we can find the vertical asymptote $x=6$,
Step 2. we can find the horizontal asymptote $y=\frac{3}{1}=3$,
Step 3. we can find the oblique asymptote $none$.