Domain of the function \( f(x)=(1-3 x)^{1 / 3}+3 \cos ^{-}\left(\frac{2 x-1}{3}\right) 3^{3 \tan...

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Domain of the function \( f(x)=(1-3 x)^{1 / 3}+3 \cos ^{-}\left(\frac{2 x-1}{3}\right) 3^{3 \tan ^{-1} x} \) is
(a) \( \left[-\frac{1}{3}, \frac{1}{3}\right] \)
(b) \( \left[-\frac{1}{2}, 1\right] \)
(c) \( [-1,2] \)
(d) \( \left[-\frac{1}{4}, \frac{1}{2}\right] \)
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