The domain of the function $$f(x)=$$$$cot$$−$$1$$⁡$$xx2$$−$$x2$$,x∈R is

Correct option is 2R−{n,n≥0,n∈I}

Questions

The domain of the function $f (x) = \cot^{- 1} (\frac{x}{\sqrt{x^{2} - [x^{2}]}}), x \in R is$

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R−{±n,n∈N}

R−{n,n≥0,n∈I}

R – {0}

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detailed solution

Correct option is B

Domain of cot–1x is R and xx2−x2 is defined if x2 ≠ [x2] (∵ x2 ≥ [x2])⇒ x ≠ 0 or +ve integer.Hence, domain =R−{n:n≥0,n∈Z}

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The domain of the function f(x)=cot−1⁡xx2−x2,x∈R is

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The domain of the function $f (x) = \cot^{- 1} (\frac{x}{\sqrt{x^{2} - [x^{2}]}}), x \in R is$