Give the equation of the horizontal asymptote of the rational function.
-$h(x)=\frac{4 x^{2}-8 x-6}{9 x^{2}-3 x+3}$
A) None
B) $\mathrm{y}=\frac{4}{9}$
C) $\mathrm{y}=\frac{8}{3}$
D) $y=0$

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function is determined by the degrees of the polynomials in the numerator and denominator. Since both the numerator and denominator are of degree 2, the horizontal asymptote is the ratio of the leading coefficients, which is $\frac{4}{9}$.

Give the Equation of the Horizontal Asymptote of the Rational h(x)=4x2−8x−69x2−3x+3h(x)=\frac{4 x^{2}-8 x-6}{9 x^{2}-3 x+3}h(x)=9x2−3x+34x2−8x−6​

Give the Equation of the Horizontal Asymptote of the Rational $h(x)=\frac{4 x^{2}-8 x-6}{9 x^{2}-3 x+3}$