"""Create fallback_executor
Generated by Phi-Octopus Eden
2025-11-07 00:21:13.040756
"""

```python
from typing import Callable, Any


class FallbackExecutor:
    """
    A class for executing a function with fallback handling.
    
    This class is designed to handle limited error recovery by providing a mechanism
    to execute a primary function and, if it fails, attempt an alternative function.
    """

    def __init__(self, primary_function: Callable[..., Any], backup_function: Callable[..., Any]):
        """
        Initialize the FallbackExecutor with both the primary and backup functions.

        :param primary_function: The main function that should be executed first.
        :param backup_function: The secondary function to execute if the primary fails.
        """
        self.primary_function = primary_function
        self.backup_function = backup_function

    def execute(self, *args, **kwargs) -> Any:
        """
        Execute the primary function. If it raises an exception, try the backup function.

        :param args: Positional arguments to pass to the functions.
        :param kwargs: Keyword arguments to pass to the functions.
        :return: The result of the successfully executed function or None if both fail.
        """
        try:
            return self.primary_function(*args, **kwargs)
        except Exception as primary_error:
            print(f"Primary function failed with error: {primary_error}")
            try:
                return self.backup_function(*args, **kwargs)
            except Exception as backup_error:
                print(f"Backup function also failed with error: {backup_error}")
                return None


# Example usage
def main_function(x):
    """
    A sample primary function that may raise an exception.

    :param x: An input value.
    :return: The square of the input if no errors occur.
    """
    import math
    result = 1 / (x - 2)
    return result ** 2


def backup_function(x):
    """
    A sample backup function that is less strict and returns a different result.

    :param x: An input value.
    :return: The cube of the input if no errors occur.
    """
    return x ** 3


if __name__ == "__main__":
    fallback = FallbackExecutor(main_function, backup_function)
    
    # Test with an argument that causes primary to fail
    print(f"Result (x=2): {fallback.execute(2)}")
    
    # Test with an argument that causes both to fail
    print(f"Result (x=3): {fallback.execute(3)}")

    # Test a successful execution
    print(f"Result (x=4): {fallback.execute(4)}")
```

This example demonstrates how to use the `FallbackExecutor` class by providing two functions, one of which is expected to fail when called with certain inputs. The fallback mechanism ensures that even if the primary function fails, an alternative can still be tried and a result obtained.