1.If the function f:R→Af : \mathbb{R} \to Af:R→A defined as f(x)=tan−1(2x31+x6)f(x) = \tan^{-1} \left( \frac{2x^3}{1+x^6} \right)f(x)=tan−1(1+x62x3) is a surjective function, then the set AAA is equal toa.[−π2,π2][-\frac{\pi}{2}, \frac{\pi}{2}][−2π,2π]b.[−π4,π4][-\frac{\pi}{4}, \frac{\pi}{4}][−4π,4π]c.(−π2,π2)(-\frac{\pi}{2}, \frac{\pi}{2})(−2π,2π)d.[0,π4][0, \frac{\pi}{4}][0,4π]Login to continueOnly logged in users canattempt or see the solution.