Describe the vertical asymptotes) and hole(s) for the graph of y=x+2/x^2+8x+15

We assume you intend your equation to be ...

... y = (x +2)/(x² +8x +15) = (x +2)/((x +3)(x +5))

This equation defines y everywhere except at x=-3 and x=-5, where there are vertical asymptotes. Because y is defined everywhere else, there are no holes.

Comment on holes

A "hole" generally occurs when there is a numerator factor that cancels a denominator factor. Though the function has a removable discontinuity at that point, it is undefined where the (canceled) denominator factor is zero.

7200

aye bru this a great thing your doin here.