Let `f: X -> Y`be an invertible function. Show that the inverse of `f^(-1)`is f, i.e., `(f^(-1))^(-1)= f`.

Explanation

To show that the inverse of \( f^{-1} \) is \( f \), we will follow these steps:

### Step 1: Define the Function
Let \( f: X \to Y \) be an invertible function. For this example, we will define \( f(x) = 2x \) where \( X = \{1, 2, 3\} \) and \( Y = \{2, 4, 6\} \).

### Step 2: Find the Inverse Function
To find the inverse function \( f^{-1} \), we start with the equation:
\[
...