Give the equations of any horizontal asymptotes.
-$$h ( x ) = \frac { 7 x ^ { 2 } - 9 x - 6 } { 3 x ^ { 2 } - 4 x + 7 }$$
A) $y = \frac { 9 } { 4 }$
B) none
C) $y = 0$
D) $y = \frac { 7 } { 3 }$

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function $\frac{P(x)}{Q(x)}$, where $P(x)$ and $Q(x)$ are polynomials, can be found by comparing the degrees of the numerator and the denominator. If the degrees are the same, the horizontal asymptote is given by the ratio of the leading coefficients. Here, both the numerator and the denominator are of degree 2, so the horizontal asymptote is $y = \frac{7}{3}$.

Give the Equations of Any Horizontal Asymptotes h(x)=7x2−9x−63x2−4x+7h ( x ) = \frac { 7 x ^ { 2 } - 9 x - 6 } { 3 x ^ { 2 } - 4 x + 7 }h(x)=3x2−4x+77x2−9x−6​

Give the Equations of Any Horizontal Asymptotes $h ( x ) = \frac { 7 x ^ { 2 } - 9 x - 6 } { 3 x ^ { 2 } - 4 x + 7 }$