The function \( g(x) = 6x - 14 \) is a linear function, and linear functions are defined for all real numbers. This means that there are no restrictions on the input values (x) for this function.
Therefore, the domain of the function \( g(x) \) is:
\[ \text{Domain: } (-\infty, \infty) \]
This indicates that any real number can be input into the function \( g(x) \).