The domain of the function f(x) = ^ -1 [2x^ 2 - 3] + _ 2 ( _ 1/2 (x^ 2 - 5x + 5)), where [t] is the greatest integer function, is

JEE Main 2022 Mathematics question

The domain of the function , where [t] is the greatest integer function, is

Answer: (3)

For we need −1 , i.e. −1 , so and x , −1] [1, ). For the logarithms we need $ \_{1/2} - 5x + 5) >

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Question ID VK-034326