To find the vertical asymptote of the function $f(x) = \frac{x - 2}{x}$, we need to identify the values of $x$ that make the denominator zero, as these will be the locations of any vertical asymptotes.

For the function $f(x) = \frac{x - 2}{x}$, the denominator is $x$. The vertical asymptote occurs when the denominator is zero:

$x = 0$

So, the vertical asymptote of the function is at $x = 0$.

Would you like further details or have any questions?

Here are some related questions:

1. How do you determine horizontal asymptotes for this function?
2. What is the behavior of the function as $x$ approaches the vertical asymptote?
3. What is the equation of the horizontal asymptote for $f(x) = \frac{x-2}{x}$?
4. How would the function change if the numerator was $x + 2$ instead of $x - 2$?
5. What would happen to the vertical asymptote if the function was $f(x) = \frac{(x-2)}{(x+1)}$?

Tip: When dealing with rational functions, vertical asymptotes occur where the denominator is zero, provided the numerator does not also become zero at the same point.