Hi, guys. This is my first thread on here, so bare with me if I make some mistakes.

I'm doing these end behavior problems and need some help...

1. Find the end-behavior asymptote(s) in the graph of f(x)=sqrt(4x^2-9)/(x+5).

I can't figure out a way to divide the square root.

2. Find the end-behavior asymptote(s) in the graph of f(x)=(4x-15x^2)/(x^2-121).

This is how I solved for it:

(4x-15x^2)/(x^2-121)=-15+(4x-1815)/(x^2-121)

y=-15

I'm not sure if I did it right. I just followed example problems.

3. Same for f(x)=(x^2-5)/(x-3).

My answer this time was y=4+((x+4)/(x-3)), so if I did the last problem correctly, the asymptote should be y=4.

4. Find the polynomial end-behavior asymptote in the graph of f(x)=(2x^3+6x-1)/(x+2).

My answer was y=2x^2-4x+14

If you could explain the process, that would help a lot. Thanks!