IIT JEE RELATIONS AND FUNCTIONS Find the range of `tan^(-1)((2x)/(1+x^2))`

Find the range of `tan^(-1)((2x)/(1+x^2))`

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[kavi_geet]

The problem i need to solve is Let f : (–1, 1) → B, be a function defined by f(x) = tan-1((2x)/(1 - x2)), then prove f is both one-one and onto when B is the interval

[kavi_geet]

Thank you. Please help find the range of tan inverse(2x/1-x2). Thanks