Let f:(-1,1) \to B, be a function defined by f(x)=\tan ^{-1} \frac{2 x}{1-x^2}, then f is both one-one and onto when B is the interval [AIEEE 2005]

Correct Answer is : (−π2,π2)

[-\frac{\pi}{2}, \frac{\pi}{2}]

(-\frac{\pi}{2}, \frac{\pi}{2})

AIEEE 2005 Math Solved Paper

Section: Mathematics

Question : 60 of 71

Marks: +1, -0

Let f:(−1,1)→B, be a function defined by f(x)=tan−1‌

1−x2

,
then f is both one-one and onto when B is the interval

[AIEEE 2005]

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