Question

What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)

Answer 1

Answer:

Vertical asymptote is at $x=-3$

Step-by-step explanation:

Let us plot the function

Here

$\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}$

Function does not exits at $x=-3$

Vertical asymptote is at $x=-3$