SOLUTION: I need help finding a vertical asymptote. I have tried to understand, but it is like another language to me. The problem states, FIND THE VERTICAL ASYMPTOTES, IF ANY, OF THE GRAPH

Algebra ->  Rational-functions -> SOLUTION: I need help finding a vertical asymptote. I have tried to understand, but it is like another language to me. The problem states, FIND THE VERTICAL ASYMPTOTES, IF ANY, OF THE GRAPH      Log On


   

Question 332814: I need help finding a vertical asymptote. I have tried to understand, but it is like another language to me. The problem states,
FIND THE VERTICAL ASYMPTOTES, IF ANY, OF THE GRAPH OF RATIONAL FUNCTIONS
X+3/X(X+1)
I sincerely appreciate any help I can get with this. Thanks!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


A rational function:



has a vertical asymptote at any value of such that , so long as any factors common to both and have been eliminated.

If , then the line represented by the equation is a vertical asymptote.

For your given function, and . Clearly these two functions have no factors in common, so simply set:



And solve for all values of . Each of these values is an value that completes an equation of a vertical asymptote, for your rational function.

Compare your results to the graph below:



John

My calculator said it, I believe it, that settles it