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Mathematics 9 Online
OpenStudy (anonymous):

find the vertical asymptote for f(x)=2/x-8

jimthompson5910 (jim_thompson5910):

I'm assuming the denominator is x-8

jimthompson5910 (jim_thompson5910):

if so, then set it equal to zero and solve for x

jimthompson5910 (jim_thompson5910):

that will give you the vertical asymptote

OpenStudy (anonymous):

yes!

jimthompson5910 (jim_thompson5910):

x-8 = 0 x = ??

OpenStudy (anonymous):

8?

jimthompson5910 (jim_thompson5910):

that value, x = 8, makes the denominator equal to zero (when you plug it in for x)

jimthompson5910 (jim_thompson5910):

so this causes a division by zero error which leads to the vertical asymptote showing up

jimthompson5910 (jim_thompson5910):

so x = 8 is the vertical asymptote

OpenStudy (anonymous):

ahhh....I see thank you

jimthompson5910 (jim_thompson5910):

you're welcome

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