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

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

A

`(-infty, infty)`

B

`(-infty,-sqrt(2)] cup [sqrt(2), infty)`

C

`(-infty,-sqrt(2)] cup [sqrt(2),infty) cup {0}`

D

None of the above

Verified by Experts

The correct Answer is:

C

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