Question

What are the vertical and horizontal asymptotes for f(x) = 3x/(x^2+2)?

Answer 1

since the bottom is a ^2 and the top is a ^1 the HA is 0

Answer 2

since there are no like terms after factoring top and bottom to cancel out; andthing that makes the bottom go 0 is a VA

Answer 3

In this case, the bottom doesn't factor on the reals, it factors complex, so there are no "real" vertical asymptotes.

Answer 4

so there are no real horizontal or vertical asymptotes?

Answer 5

No, just no real vertical. There is the horizontal one at y=0

Answer 6

oh okay. Thank you.