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Find the domain of f(x) = 1/√(x - [x])

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Find the domain of f(x) = 1/√(x - [x])

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Dr = 0 gives x – [x] = 0

⇒ [x] = x

⇒ x ∈ I

Also, x - [x] > 0

⇒ x > [x]

⇒ x ∈ f, 0 < f < 1

Thus, Df = R - I

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