Question

At which values of x does the function F(x) have a vertical asymptote? Check all that apply.

Answer 1

You get vertical asymptotes because the x-value causes you to try to divide by 0.

If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.

You find these by solving 3x(x-1)(x+5)=0.

That's your answer: 0, 1, and -5