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Let f:[-pi/3,(2pi)/3]to[0,4] be a functi...

Let `f:[-pi/3,(2pi)/3]to[0,4]` be a function defined as `f(x)=sqrt3sinx-cosx+2`. Then `f^(-1)(x)` is given by

A

`sin^(-1)((x-2)/2)-pi/6`

B

`sin^(-1)((x-2)/2)+pi/6`

C

`(2pi)/3+cos^(-1)((x-2)/2)`

D

None of these

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The correct Answer is:
B
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