How many asymptotes are associated with the graph of h(x) -- (Q. below)? I got 3 on my quiz, is this correct?

Question

f(x) = x^2 + 3x - 4. g(x) = (x^2 + 1)(x^2 + 4). h(x) = [f(x)]/[g(x)].

Answer 1

set g(x) equal to 0

since a number squared cant equal zero and you are adding to it, i dont think you have any vertical

horzontally, you have 1 using your rules...i say one

Answer 2

There is one horizontal asym (limit as x goes to infinity), no vert asyms (denominator = 0). Are you looking for oblique asyms?