The domain of is equal to

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

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 (1) [−1,−32]∪[0,32]\left[-1, -\frac{\sqrt{3}}{2}\right] \cup \left[0, \frac{\sqrt{3}}{2}\right] (2) [−1,−12]∪[0,12]\left[-1, -\frac{1}{2}\right] \cup \left[0, \frac{1}{2}\right] (3) [0,12]\left[0, \frac{1}{2}\right] (4) None of these

Related theory

Browse the problem library