Identify the interval that can be taken as the domain of so that is invertible with…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Identify the interval that can be taken as the domain of g(x)=sin⁡xg(x)=\sin x so that gg is invertible with codomain [−1,1][-1,1]. (a) [0,π][0,\pi] (b) [−π,π][-\pi,\pi] (c) [−π2,π2]\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right] (d) [−π4,3π4]\left[-\dfrac{\pi}{4},\dfrac{3\pi}{4}\right]

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