SOLUTION: find the asymptotes and graph the function: f(x)=2/x^2-9 please help and thanks so much

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the asymptotes and graph the function: f(x)=2/x^2-9 please help and thanks so much      Log On


   

Question 48399: find the asymptotes and graph the function:
f(x)=2/x^2-9
please help and thanks so much
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 2/(x^2 - 9) = 2/((x - 3)(x + 3))
If x+=+3 or x+=+-3, you would be dividing by zero. Since that is described as undefined, those are your two vertical asymptotes.
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C2%2F%28x%5E2-9%29%29