Question

find equations for the vertical asymptotes, if any, for the following rational function.
$f(x) = \frac{-3}{x + 1}$
answerhow to enter your answer (opens in new window)
3 points
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 in the associated box.

Explanation:

Step1: Recall vertical asymptote rule

For a rational function \( f(x)=\frac{N(x)}{D(x)} \), vertical asymptotes occur where \( D(x) = 0 \) (and \( N(x)
eq0 \) at those points).

Step2: Find denominator zero

For \( f(x)=\frac{-3}{x + 1} \), set denominator \( x + 1=0 \).
Solve: \( x=-1 \).
Check numerator: \( N(x)=-3
eq0 \) at \( x = -1 \). So vertical asymptote is \( x=-1 \).

Answer:

\( x = -1 \)