Respuesta :

There are 2 vertical asymptotes does the graph of this function have which are 0 and 1.

Given that

The function is;

[tex]\rm F(x) = \dfrac{2}{x(x-1)}[/tex]

We have to determine

How many vertical asymptotes does the graph of this function have?

According to the question

To find the vertical asymptotes following all the steps given below.

The function is undefined when the denominator becomes 0. Find values of x for which the denominator is 0:

The function is;

[tex]\rm F(x) = \dfrac{2}{x(x-1)}[/tex]

Then,

The required vertical asymptotes are,

[tex]\rm x (x-1)=0\\\\x=0\\\\x-1=0,\ \ x=1[/tex]

Hence, there are 2 vertical asymptotes does the graph of this function have which are 0 and 1.

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https://brainly.com/question/13252292