SOLUTION: Find the vertical and horizontal asymptotes for f(x)=x^2-25/6x+1. One of the following is the correct answer. Which one? A) The vertical asymptote is in x=5.The horizontal a

Question 1198477: Find the vertical and horizontal asymptotes for f(x)=x^2-25/6x+1.
One of the following is the correct answer. Which one?
A) The vertical asymptote is in x=5.The horizontal asymptote is in y=0
B) There is no vertical asymptote. The horizontal asymptote is in y=-1/6
C) The vertical asymptote is x=-1/6. There is no horizontal asymptote.
D) There is no vertical asymptote. The horizontal asymptote is in y=5
E) The vertical asymptote is in x=1/6. There is no horizontal asymptote
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The degree of the numerator is greater than the degree of the denominator, so there is no horizontal asymptote.

The vertical asymptote(s) are where the denominator is 0:
6x+1 = 0 --> x = -1/6

******************************************
NOTE:
If you are working on a problem like this, then you should know that the proper use of parentheses is important. The function as you post it is not the function you meant:

f(x)=x^2-25/6x+1 -->

The correct function is

f(x)=(x^2-25)/(6x+1) -->

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