### Instruction: Find the domain of the function
\[g(x) = \frac{x^3 + 11x - 2}{|x - 3| + |x + 1|}.\].### Response: I notice that the denominator of the function is the sum of two absolute values, which means it can never be zero.
Therefore, the only possible issue with the domain is if the numerator is undefined.
However, the numerator is a cubic polynomial, which is defined for all real values of x.
So, the domain of the function is the entire set of real numbers, or in interval notation, (-infinity, infinity).