1.
Let f:[−1,1]→Bf : [-1, 1] \to B be a function defined as f(x)=cot⁡−1(2x3(1+x2))f(x) = \cot^{-1}\left(\frac{2x}{\sqrt{3}(1+x^2)}\right). If ff is both one-one and onto, then BB is the interval