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Let g: R->(0,pi/3) be defined by g(x)=co...

Let `g: R->(0,pi/3)` be defined by `g(x)=cos^(-1)((x^2-k)/(1+x^2))` . Then find the possible values of `k` for which `g` is a surjective function.

A

`{1/2}`

B

`(-1, - 1/2)`

C

`{- 1/2}`

D

`(- 1/2, 1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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