Question

identify the vertical asymptotes of f(x)=x+6/x^2-9x+18

Answer 1

start with the meaning of an asymptote.

Answer 2

i got x=6 and x=3

Answer 3

asymptote- a straight line that continually approaches a given curve but does not meet it at any finite distance.
here, the straight line(asymptote) is a line parallel to the y axis.

Answer 4

@Abhishek619 am i right?

Answer 5

i'm sorry, no.
just think over it.

Answer 6

http://www.purplemath.com/modules/asymtote.htm

Answer 7

ok i tried again and got -6 and x=3

Answer 8

@jeremy02030203 nice explanation. :)
@helpineedit - go through the link mentioned above, try to solve then. :D
post the answer.

Answer 9

oops sorry, is your question
\[\frac{ x+6 }{ x ^{2}-9x+18 }\]?

Answer 10

find the roots of x^2-9x+18

Answer 11

As the link I posted says, you can find the vertical asymptotes by setting the denominator to 0. x^2-9x+18=0

which is (x-3)(x-6)=0 therefore a value or 3 or 6 will give you 0

Answer 12

yes @Abhishek619

Answer 13

and the answer i have is -6 and -3

Answer 14

I'm sorry, I read your question wrong! My bad!
The solution which you obtained at first is the answer to your question.

Answer 15

yeah your first answer was right

Answer 16

i got x=6 and x=3 that one @jeremy02030203

Answer 17

x=3 and x=6