From the information provided we will have that the function that has all the criteria is:
[tex]f(x)=\frac{4(x-4)(x-5)}{(x-4)(x-2)(x-6)}[/tex]
This is due to the fact that there vertical asymptotes are given by the zeros on the expression found in the denominator [(x - 4) is removable since is present in both the numeator and denominator of the expression]. The zero for the whole function is given on the numerator. And the discontinuity is given by the removable value in the denominator and numerator. [Option C]
