Give the equation of the horizontal asymptote of the rational function.
-$g(x)=\frac{x-3}{x-4}$
A) $x=4$
B) $y=1$
C) $y=0$
D) $\mathrm{y}=\frac{3}{4}$

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function $\frac{a_nx^n + \ldots}{b_mx^m + \ldots}$ is determined by the degrees of the polynomials. If the degrees are equal, the asymptote is $y=\frac{a_n}{b_m}$. Here, both the numerator and denominator are degree 1, so the asymptote is $y=\frac{1}{1}=1$.

Give the Equation of the Horizontal Asymptote of the Rational g(x)=x−3x−4g(x)=\frac{x-3}{x-4}g(x)=x−4x−3​

Give the Equation of the Horizontal Asymptote of the Rational $g(x)=\frac{x-3}{x-4}$