# Functions - Domain & Range

Algebra Level 2

$f(x) = \ln(x - \lfloor x \rfloor)$

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

1. $$\lfloor x \rfloor$$ denotes the greatest integer function
2. $$\ln x$$ is the natural logarithm
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