Answer:
The graph of the function has three vertical asymptotes
Step-by-step explanation:
we have the function
[tex]f(x)=\frac{5}{3x(x+1)(x-7)}[/tex]
we know that
To find the vertical asymptotes of a rational function, simply set the denominator equal to 0 and solve for x.
so
[tex]3x(x+1)(x-7)=0[/tex]
The values of x are x=-1,x=0, x=7
using a graphing tool
see the attached figure to better understand the problem
therefore
The graph of the function has three vertical asymptotes
