SOLUTION: HELP, please! For the given function, find all asymptotes of the type indicated (if there are any). f(x)= x-9/x^2-4, vertical Thank You!

Algebra ->  Functions -> SOLUTION: HELP, please! For the given function, find all asymptotes of the type indicated (if there are any). f(x)= x-9/x^2-4, vertical Thank You!      Log On


   

Question 135280: HELP, please!
For the given function, find all asymptotes of the type indicated (if there are any).
f(x)= x-9/x^2-4, vertical
Thank You!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical asymptotes are vertical lines with equations of the form x=a. There is a vertical asymptote for every value of x that makes the denominator of your rational function equal zero. All you need to do is solve x%5E2-4=0. Since this is a quadratic equation, you will have two roots, a%5B1%5D and a%5B2%5D, and therefore two vertical asymptotes, x=a%5B1%5D and x=a%5B2%5D. It's up to you to figure out the values of a%5B1%5D and a%5B2%5D.