Final answer:
The function f(x) = x/(x-3) has a vertical asymptote at x = 3, as this is the value where the function is undefined.
Step-by-step explanation:
To find the vertical asymptotes of the function f(x) = x/(x-3), we need to determine where the function is undefined, which is where the denominator is zero. In this case, the function is undefined when x-3 = 0, which occurs when x = 3. Therefore, x = 3 is the vertical asymptote of the function. There are no more vertical asymptotes as no other values of x will make the denominator zero.