# How to find the vertical asymptotes?

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• Oct 22nd 2009, 06:39 PM
relichunter09
How to find the vertical asymptotes?
Find the vertical asymptotes of the rational function. H(x)= 3x^2 / (x-7)(x-8)

Thanks
• Oct 22nd 2009, 06:48 PM
pickslides
$x \neq 7,8$ therefore vertical asymptotes are $x= 7$ and $x=8$
• Oct 22nd 2009, 06:51 PM
ux0
Quote:

Originally Posted by relichunter09
Find the vertical asymptotes of the rational function. H(x)= 3x^2 / (x-7)(x-8)

Thanks

The vertical asymptotes are generally were the function isn't defined, in your case the function is not defined when the denominator is equal to zero. i.e

$(x-7)(x-8)=0$
$x=7$
$x=8$

Those are your two vertical asymptotes.
• Oct 22nd 2009, 07:08 PM
relichunter09
you guys are great! Thanks(Hi)