QuestionIdentify the vertical asymptote(s) of the rational function. $f(x) = \frac{x(x+6)(x-10)}{(x-5)(x+6)}$

Studdy Solution
Determine which values lead to vertical asymptotes. From the previous step, we found:
- $x = 5$ makes the denominator zero but not the numerator, indicating a vertical asymptote. - $x = -6$ makes both the numerator and the denominator zero, indicating a hole, not a vertical asymptote.
Therefore, the vertical asymptote is at $x = 5$.
The vertical asymptote of the function is at $x = 5$.