1.If f:R→Af : \mathbb{R} \to Af:R→A defined as f(x)=tan−1(4(x2+x+1))f(x) = \tan^{-1}\left(\sqrt{4(x^2 + x + 1)}\right)f(x)=tan−1(4(x2+x+1)) is surjective, then AAA is equal toa.(−π2,π2)(-\frac{\pi}{2}, \frac{\pi}{2})(−2π,2π)b.[0,π2)[0, \frac{\pi}{2})[0,2π)c.[π3,π2)[\frac{\pi}{3}, \frac{\pi}{2})[3π,2π)d.(0,π3](0, \frac{\pi}{3}](0,3π]Login to continueOnly logged in users canattempt or see the solution.