Question

At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply. f(x)=x+4/x^2+5x-24

Answer 1

x = -8 & at x = 3

Explanation:

This is a rational function.

We can get the values of x at which vertical asymptotes occur by setting the denominator equal to 0 and solving for x.

Let's do this:

`x^2+5x-24=0\\(x+8)(x-3)=0\\x=-8,3`

Hence, vertical asymptotes occur at x = -8 & at x = 3