The domain of the function f(x) = x^2 - [x]^2 , where [x] = the greatest integer less than or equal to x, is

JEE Advanced Mathematics question

The domain of the function , where = the greatest integer less than or equal to , is

Answer: (D)

We need , i.e. .

- : , so it holds. - a negative integer: , so equality holds. - and not an integer:

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Question ID VK-109129