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The domain of the function f(x)=sin^(-1)...

The domain of the function `f(x)=sin^(-1) frac1|x^2-1|+1/sqrt(sin^2x+sinx+1)` is :

A

`(-infty,infty)`

B

`(-infty,-sqrt2]cup[sqrt2,-infty)`

C

`(-infty,-sqrt2]cup[sqrt2,infty)cup{0}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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