Mathematics

Mathematics

Problem

The domain of f(x)=sin⁡−1(3x−4x3)+cos⁡−1xf(x) = \sqrt{\sin^{-1}(3x - 4x^3)} + \sqrt{\cos^{-1} x} is equal to a. [−1,−32]∪[0,32]\left[-1, -\frac{\sqrt{3}}{2}\right] \cup \left[0, \frac{\sqrt{3}}{2}\right] b. [−1,−12]∪[0,12]\left[-1, -\frac{1}{2}\right] \cup \left[0, \frac{1}{2}\right] c. [0,12]\left[0, \frac{1}{2}\right] d. None of these

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