Question

Which function does not have a vertical asymptote?

a. y=(x)/(1+x²)

b. y=(5x)/(1-x²)

c. y=(5x-1)/(x)

d. (5x)/(x+x²)

Answer 1

a

Answer 2

a vertical asymptote occurs when x cannot equal to something.

Answer 3

in other cases, b, c, d, u'll run into trouble if x is either 1 or 0, but in a x could be anything

Answer 4

a

Answer 5

Reference guide for vertical asymptotes:
http://www.purplemath.com/modules/asymtote.htm