The range of f(x) =log{x}, where {} represents the fractional part function).
-∞,0
∞,0
R
N
We know that 0≤{x}<1∀x∈R
Now, when {x}=0,log{x} is not defined. So, x cannot be an
integer. Hence, the domain is R−I .
Now, for 0<{x}<1,−∞<log{x}<0. So, range is (−∞,0) .