Question

At which values of x does the function F(X) have a vertical asymptote? F(X) =3/x(x-5)(x+1)

Answer 1

Answer:

There are vertical asymptotes at x:  {-1, 0, 5}

Step-by-step explanation:

It's easier (at least for some) if you write this function as

                  3

F(X) = ------------------

            x(x-5)(x+1)

Can you now see that if x = 0, this function is undefined?  Same for x = 5 and x = -1?  There are vertical asymptotes at x:  {-1, 0, 5}

Answer 2

x = 0, -1, 5 the function F(X) have a vertical asymptote.

How do you find the vertical asymptote of a function?

To find the vertical asymptote(s) of a rational function, simply set the denominator equal to 0 and solve for x.

Given

x(x-5)(x+1) = 0

x = 0 , x-5 =0, x+1 =0

x = 0, 5, -1

To know more about vertical asymptote refer to :

https://brainly.com/question/12714513

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