Question

What are the vertical asymptotes for the graph of `y=(x+3)/((x-2)(x+5))`?

Answer 1

They're `x = 2` and `x = -5`.

To find the vertical asymptotes of a rational functions, you have to find the zeros of the denominator:
`(x-2)(x+5) = 0`
`x-2 = 0 or x+5 = 0`
`x = 2 or x=-5`

These are always the vertical asymptotes.