Answer
vertical asymptote $none$,
horizontal asymptote $none$,
oblique asymptote $none$.
Work Step by Step
Step 1. Factor the function $R(x)=\frac{6x^2+7x-5}{3x+5}=\frac{(2x-1)(3x+5)}{3x+5}=2x-1, (x\ne-\frac{5}{3})$, thus it is a line with a hole.
Step 2. we can find the vertical asymptote $none$,
Step 3. we can find the horizontal asymptote $none$,
Step 4. we can find the oblique asymptote $none$.
