Mathematics

Mathematics

Problem

Let g:R→[0,π3]g: R \to \left[0, \frac{\pi}{3}\right] is defined by g(x)=cos⁡−1(x2−k1+x2)g(x) = \cos^{-1}\left(\frac{x^2-k}{1+x^2}\right) Then the possible values of 'k' for which g is surjective function, is a. {12}\left\{\frac{1}{2}\right\} b. [−1,−12]\left[-1, -\frac{1}{2}\right] c. {−12}\left\{-\frac{1}{2}\right\} d. [−12,1]\left[-\frac{1}{2}, 1\right]

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