Let $f:(-1,1) o B$, be a function defined by $f(x)={{ an }^{-1}}\frac{2x}{1-{{x}^{2}}},$ then f is both one- one and onto when B is the interval

Question

Let $f:(-1,1)	o B$, be a function defined by $f(x)={{	an }^{-1}}\frac{2x}{1-{{x}^{2}}},$ then f is both one- one and onto when B is the interval

Accepted Answer

$\left( -\frac{\pi }{2},\frac{\pi }{2} \right)$

Answer

$\left[ -\frac{\pi }{2},\frac{\pi }{2} \right]$

Answer

$\left( 0,\frac{\pi }{2} \right)$

Answer

$\left[ 0,\frac{\pi }{2} \right)$

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