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Let f:(-1,1) to B, be a function defined...

Let `f:(-1,1) to B`, be a function defined by `f(x) = tan^(-1)((2x)/(1-x^(2)))`, then f is both one-one and onto when B is the interval.

A

`(0,pi/2)`

B

`[0,pi/2)`

C

`[-pi/2, pi/2]`

D

`(-pi/2,pi/2)`

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The correct Answer is:
D
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