Let `f:(-1,1)toB` 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 :

Options

A. `(0, pi/2)`
B. `[0, pi/2)`
C. `[- pi/2, pi/2]`
D. `(- pi/2, pi/2)`

Answer

D