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If `f: R->(-1,\ 1)` is defined by `f(x)=(-x|x|)/(1+x^2)` , then `f^(-1)(x)` equals `sqrt((|x|)/(1-|x|))` (b) ` Sgn(x)sqrt((|x|)/(1-|x|))` (c) `-sqrt(x/(1-x))` (d) none of these

A

`sqrt((|x|)/(1-|x|)`

B

`(sgn (-x)) sqrt((|x|)/(1-|x|)`

C

`-sqrt((x)/(1-x)`

D

`(sgn (x)) sqrt((|x|)/(1+|x|)`

Text Solution

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The correct Answer is:
B
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