Question

find the equation of all horizontal asymptotes of the following function.

$f(x)=\frac{1}{x - 6}+3$

answer y=

Explanation:

Step1: Recall horizontal asymptote rule

For \(y=\frac{a}{x - h}+k\), horizontal asymptote is \(y = k\).

Step2: Identify \(k\) in the given function

In \(f(x)=\frac{1}{x - 6}+3\), \(k = 3\).

Answer:

$y = 3$