find the horizontal asymptote.\ny = \\frac{9x - 18}{x + 3}\ny = ?

find the horizontal asymptote.\ny = \\frac{9x - 18}{x + 3}\ny = ?

find the horizontal asymptote.\ny = \\frac{9x - 18}{x + 3}\ny = ?

Answer

Explanation:

Step1: Identify degrees of polynomials

The degree of the numerator $9x - 18$ is 1 and the degree of the denominator $x+3$ is 1.

Step2: Use horizontal - asymptote rule

When the degrees of the numerator and denominator are equal, the horizontal asymptote $y$ is the ratio of the leading - coefficients. The leading coefficient of the numerator is 9 and the leading coefficient of the denominator is 1. $y=\frac{9}{1}$

Answer:

$y = 9$