Functions - Domain & Range
\[f(x) = \ln(x - \lfloor x \rfloor)\]
If the domain of \(f(x)\) is the set \(A\) and the range of \(f(x)\) is the set \(B\), how many numbers in the range \([-10, 0]\) are not elements of \(A \cap B\)?
Details and Assumptions
- \(\lfloor x \rfloor\) denotes the greatest integer function
- \(\ln x\) is the natural logarithm