The domains of the functions are:
- Domain of \( f \): \((- \infty, -7) \cup (-7, 7) \cup (7, \infty)\)
- Domain of \( g \): \((- \infty, \infty)\)
Thus, the final answer is:
\[
\boxed{\text{Domain of } f: (-\infty, -7) \cup (-7, 7) \cup (7, \infty), \text{ Domain of } g: (-\infty, \infty)}
\]