a) Only half right.
Polynomials are continuous everywhere, so the quotient of polynomials is continuous everywhere except where the denominator is .
So if the denominator is , we have
Thus the domain of the function is .
Notice that we can rewrite the function as
Now find .
c) Nearly correct.
We can further rewrite the function as
There will be a vertical asymptote at and a horizontal asymptote at .