what is the vertical asymptote of x^3/x^4-81

Question

dumbcow · Answer

set denominator equal to 0

anonymous · Answer

so it would be 9 &-9?

luigi0210 · Answer

if it was x^2=81 then yes

anonymous · Answer

well what do i do since its x^4?

dumbcow · Answer

take 4th root of 81 .... +-3

anonymous · Answer

so thats my answer?

dumbcow · Answer

vertical asymptotes are imaginary vertical lines designated by equations "x = ?" answers are: x = 3 x = -3 again looking at the graph would greatly help...i assume you have a graphing calculator http://www.wolframalpha.com/input/?i=plot+x%5E3%2F%28x%5E4-81%29+from+-6+to+6

anonymous · Answer

how do i find horizontal asymptotes?

dumbcow · Answer

well one... look at graph , what does curve approach as x-> infinity ?

also the rule is if degree on bottom > degree on top ..... horizontal is y=0

anonymous · Answer

oh okay i understand i figured that. one more question.what is the domain of 4(x^2-100)

dumbcow · Answer

domain is everything except the vertical asymptotes....so basically this question is find the vertical asymptotes