Question

What are the asymptotes of the function.

Answer 1

x=1,-1

Answer 2

do you need y asymptotes

Answer 3

our asymptotes come from when we try and divide by zero, or when the denominator is zero.

when does this happen

x^2-1=0 implies x^2=1 implies x=1 or x=-1

so the asymptotes are x=1 and x=-1

Answer 4

for horizontal asymptotes, since the degree of the top equals the degree of the bottom we divide the leading coefficients and get 4/1 = 4

so the horizontal asymptotes is y=4

Answer 5

ie the limit as x goes to infinity is 4.

Answer 6

ty @zzr0ck3r needed a refresher on y asymptotes, but i thought it was y=4

Answer 7

Rule of Thumb: Make the denominator zero and you MIGHT have an asymptote.
Rule of Other Thumb: If the SAME value makes the numerator zero, then you DON'T have an asymptote.

In this case, the numerator is never zero, so both suspected asymptotes count.

Answer 8

thanks guys....

Answer 9

lol np