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The domain of definition of the function `f(x)=sqrt(sin^(-1)(2x)+pi/6)` for real-valued `x` is `[-1/4,1/2]` (b) `[-1/2,1/2]` (c) `(-1/2,1/9)` (d) `[-1/4,1/4]`

A

`[-1/4,1/2]`

B

`[-1/2,1/2]`

C

`(-1/2,1/9)`

D

`[-1/4,1/4]`

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