Using the vertical asymptotes, it is found that the function is graphed below is:
D. [tex]F(x) = \frac{1}{x(x - 3)}[/tex]
A vertical asymptote is a point of a function which is outside it's domain.
- In a fraction, they are given by the zeros of the denominator.
In this problem, the asymptotes are: [tex]x = 0, x = 3[/tex].
Hence, the denominator is: [tex]x(x - 3)[/tex], which corresponds to option D, and thus, the function is:
D. [tex]F(x) = \frac{1}{x(x - 3)}[/tex]
You can learn more about vertical asymptotes at https://brainly.com/question/11598999
