Answer
vertical asymptote $x=-4$,
horizontal asymptote $y=3$,
oblique asymptote $none$.
Work Step by Step
Step 1. Given $R(x)=\frac{3x}{x+4}$, we can find the vertical asymptote $x=-4$,
Step 2. we can find the horizontal asymptote $y=\frac{3}{1}=3$,
Step 3. we can find the oblique asymptote $none$.
