Posted by **Max** on Monday, October 24, 2011 at 8:18pm.

What is the vertical and horizontal asymptotes of

..

3x

_________

x^2-3x-10

- pre calc -
**Reiny**, Monday, October 24, 2011 at 8:59pm
vertical asymptotes occur when the denominator is zero, so

x^2 - 3x - 10 = 0

(x-5)(x+2) = 0

x = 5 or x = -2 are vertical asymtotes

let x ---> ∞

so 3x/(x^2 - 3x-10) ---> 0

the horizontal asymptote is y = 0 , which is the x-axis

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