Question

I need help finding the vertical asymptotes of Y=(x^2-5x+4)/(x^4-1)

Is the answer Y= - oo ?

Answer 1

no, a vertical asymptote is a value of x for which the function is not defined.

Answer 2

spose we have a rational function:\[\frac{n(x)}{d(x)}\]
for some x=c

if d(c)=n(c)=0, then we have a hole.

if d(c) = 0, and n(c) does not equal 0, then we have a vertical asymptote at x=c

Answer 3

Thanks! But is the right answer for the question is x= not defined?

Answer 4

x is defined ... the issue is more of when the rational function is not defined. that is usually when when d(x) ... the denoninator... is equal to zero.