Question

Please help, can't find correct solution after solving.

Find the vertical asymptotes of the function (2x+8)/(x^2+5x+6). I know you're supposed to set the problem to zero and solve, but all I can get is -4. Can someone help me please?

Answer 1

\[\frac{ 2x+8\ }{ x^2+5x+6 }\] that's what the problem looks like by the way haha.

Answer 2

You just need to factor the denominator

Answer 3

Since the vertical asymptotes gives you the zeroes of the denominator in a rational function

Answer 4

the vertical asymptotes

those happen when you "divide by zero" (or at least when the bottom gets very close to zero)

so you want to find when the bottom is zero

Answer 5

\[x^2+5x+6=0\] solve

Answer 6

oh, so only the bottom, not the whole thing?

Answer 7

Yes

Answer 8

so, it'd be -3 and -2 ..?

Answer 9

Correct

Answer 10

thank you so much! (:

Answer 11

Np