Domain of $f(x)=\frac{1}{[x]}+\sqrt{(2-x) x}$ is equal to : (If [x] denotes the greatest integer function]

[0, 2] [0, 1] [1, 2] (1, 2]

[1, 2]

For the do main, [x] ≠ 0 and (2 – x)x ≥ 0 x ∉ (0, 1) and x(x – 2) ≤ 0 Hence (3) is the correct answer.