Question

write the equation of the horizontal asymptote of the function: $y = \frac{-x - 10}{-3x^{2}-75}$

Explanation:

Step1: Identify degrees of numerator and denominator

Degree of numerator $n = 1$, degree of denominator $m=2$ ($n

Step2: Apply horizontal - asymptote rule

When $n < m$ in a rational function $y=\frac{a_nx^n+\cdots+a_0}{b_mx^m+\cdots + b_0}$, the horizontal asymptote is $y = 0$.

Answer:

$y = 0$