Question

What are the vertical asymptotes of the function f(x) = the quantity of 2 x plus 8, all over x squared plus 5 x plus 6?

Answer 1

2x+8 / x^2+5x+6

Answer 2

The answer choices

x = −3 and x = −2

x = −3 and x = 2

x = 1 and x = −2

x = 1 and x = 2

Answer 3

I think its x = 1 and x = −2

Answer 4

Mmm, it's not your choice. Would you know how to go about finding them?

Answer 5

To find the vertical asymptotes, set the denominator equal to zero and solve.
\[x ^{2}+5x+6=(x+3)(x+2)\]
x=-2, x=-3

Answer 6

That equation should be equal to zero, my mistake.

Answer 7

x=-2,-3 are the poles/asymptotes of the function

Answer 8

Oh that makes sense

Answer 9

so would that be the answer?

Answer 10

a

Answer 11

mkay ty guys