Final answer:
The vertical asymptote of the rational function f(x) = (x² - 64)/(x - 8) is x = 8.
Step-by-step explanation:
In this case, the given function is f(x) = (x² - 64)/(x - 8). To find the vertical asymptote of the rational function, we need to determine the values of x that make the denominator equal to zero. Since the denominator is x - 8, the vertical asymptote occurs at x = 8. Therefore, the equation of the vertical asymptote for this function is x = 8.