Question

find equations for the vertical asymptotes, if any, for the following rational function.
$f(x) = \frac{-9}{x - 7}$
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 in the associated box.
none

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 numerator \( N(x)
eq0 \) at those points).

Step2: Find denominator zero

Denominator of \( f(x)=\frac{-9}{x - 7} \) is \( x - 7 \). Set \( x - 7 = 0 \), solve: \( x = 7 \).
Numerator \( -9
eq0 \), so \( x = 7 \) is vertical asymptote.

Answer:

\( x = 7 \)