Respuesta :

The graph above is the graph of,

[tex]f(x) = \frac{1}{x(x - 3)} [/tex]

Answer:

B. [tex]f(x)=\frac{1}{x(x-3)}[/tex]

Step-by-step explanation:

The given graph has two vertical asymptotes. These are;

[tex]x=0[/tex] and [tex]x=3[/tex]

This implies that the rational function must have denominator of

[tex]x(x-3)[/tex]

The graph also has a horizontal asymptote of  [tex]y=0[/tex].

The function that has these properties is

[tex]f(x)=\frac{1}{x(x-3)}[/tex]