Question

find domain of f(x)=√x-[x]

Answer 1

$f(x) = \sqrt{x - [x] } \\ f(x) = \sqrt{fract(x)}$
For defining of function ,
frac{x} ≥ 0 we also know, frac{x} ∈[0,1) ∨x∈R
Hence, domain of f(x) is defined for all x∈R
So, domain ∈R