The domain of the function appears to be the set of all real numbers. However, there seems to be a special behavior at x = 0, where the function returns negative infinity.

[CODE]:
```python
def f(x):
    if x == 0:
        return float('-inf')
    else:
        return some_mathematical_operations(x)
```

Please note that this is just an initial approximation based on the limited information we have. We might need to perform more experiments or analyze the code in more detail to get a more accurate understanding of the function.