Find the hole in the graph of the function \( f(x) = \frac{(x - 2)(x + 3)}{(x - 2)(x + 4)} \)

Step 1 ：First, we simplify the function. We notice that \(x - 2\) appears in both the numerator and the denominator, we can cancel this out.

Step 2 ：After simplification, our function becomes \( f(x) = \frac{x + 3}{x + 4} \). However, the original function was undefined at \(x = 2\).

Step 3 ：Thus, \(x = 2\) is a hole in the graph.