Question: Find equations for the horizontal asymptotes, if any, for the following rational function. \[…

Find equations for the horizontal asymptotes, if any, for the following rational function.

\[ f(x) = \frac{-9}{x - 1} \]

Answer

How to enter your answer (opens in new window)

Separate multiple equations with a comma.

Selecting a button will replace the entered answer value. The value of the button is used instead of the value.

\[ y = 0 \]

none

Solution

To find the horizontal asymptotes of the rational function \( f(x) = \frac{-9}{x - 1} \), follow these steps: Determine the degree of the numerator and the denominator. \[ \text{Degree of numerator} = 0 & \] \[ \text{Degree of denominator} = 1 & \] Compare the degrees: Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is: \[ y = 0 & \]