find the vertical asymptotes and holes for the graph of each rational function.
y=(x+5) / (x^2+9)
and when i do these types of problems usually i factor it out to get the asymptotes but idk how to factor the bottom. please help?

Question

find the vertical asymptotes and holes for the graph of each rational function.
y=(x+5) / (x^2+9) 
and when i do these types of problems usually i  factor it out to get the asymptotes but idk how to factor the bottom. please help?

anonymous · Answer

you don't need to factor the bottom to get the zeros?

anonymous · Answer

oh. how do i do it? please help

anonymous · Answer

Hole when numerator is zero
Hole at x = 5
Vertical asymptote when denominator is zero
x^2 + 9 = 0 <<< can never = 0, so no VA
Horizontal asymptotes where the limit of x -> +infinity and -infinity
I'll draw you the work for HA

anonymous · Answer

nay http://upload.wikimedia.org/wikipedia/commons/f/f7/SlantAsymptoteError.svg

anonymous · Answer

that should help...

anonymous · Answer

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