Find the domain of defination the follow...

Find the domain of defination the following functions.
`f(x)=(sqrt(1-sin x))/(log_(5) (1-4x^(2))+cos^(-1) (1-{x})`.
where {x} is the fractional part of x.

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The correct Answer is:

`x in (-1/2, 1/2), x ne 0`

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