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2x-2/x^2+3x-4
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y = 1. When the degree of your numerator is the same with the degree of your denominator, then y = the ratio of the leading coefficients of the numerator and denominator is the horizontal asymptote.
(x2 - 4)/4x = 12; x ≠ 0 x2 - 4 = 48x x2 - 48x = 4 x2 - 48x + 242= 4 + 242 (x - 24)2 = 4 + 576 x - 24 = ±√580 x = 24 ± 2√145