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Mathematics 22 Online
OpenStudy (sphott51):

what are the asymptotic of y=(x+3) / (x^2-9) ? The answer is x= 3, y= 0 Just need to show the work and don't know how to get there

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

do you know how to factor \(x^2-9\)/

OpenStudy (sphott51):

Yes, (x+3)(x-3)

OpenStudy (misty1212):

K then cancel

OpenStudy (sphott51):

what's left is (x-3)

OpenStudy (misty1212):

you get \[\frac{1}{x-3}\] which has a vertical asymptote when \(x=3\) because that makes the denominator equal to zero

OpenStudy (sphott51):

|dw:1422828959242:dw|

OpenStudy (sphott51):

Since the y has no number... I'm guess it's just 0?

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