AP EAMCET Engineering 17 Sep 2020 Shift 2 Paper

As [x]=−1 when
x∈[−1,0). This makes denominator of first part 1+[x]=0. Hence,
Interval [−1,0) must be excluded from domain set. ∴D(f)=R−[−1,0)
Also at x=0 (which is part of domain), value of function is zero.
i.e. f(0)=0
So option (mathrm‌d) is correct.