
Robert J. answered 10/08/13
Tutor
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Certified High School AP Calculus and Physics Teacher
The horizontal asymptote can be found by taking the limit:
y = lim{x-->oo} (3x4+12x3+3x2+4x+9)/(1x4+4x3+4x2-2x+6) = 3
Answer: y = 3 is the equation of horizontal asymptote.
There is no intersection between the asymptote and f(x).