Analytically determine the location(s)of any vertical asymptote(s).

A)
B)
C) ,
D)
E) no vertical asymptotes

Question

Analytically determine the location(s)of any vertical asymptote(s). ​
​  ​
A) ​ 
B) ​ 
C) ​ , 
D) ​ 
E) ​no vertical asymptotes

Quizplus · Accepted Answer

A vertical asymptote occurs when the denominator of a fraction approaches zero while the numerator does not. In this case, the denominator of the function is (2x+1)(x-1), which equals zero when x=-1/2 or x=1. Therefore, there are vertical asymptotes at x=-1/2 and x=1, which corresponds to choice C.

Analytically Determine the Location(s)of Any Vertical Asymptote(s). ​

Analytically Determine the Location(s)of Any Vertical Asymptote(s).