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in Sets, Relations and Functions by (20 points)
12. The domain of the function \( f(x)=\sqrt{\log _{1 / 2}\left(\frac{2 x-1}{x-1}\right)} \), is (1) \( [0, \infty) \) (2) \( \left[0, \frac{1}{2}\right) \) (3) \( \left[-\infty, \frac{1}{2}\right) \) (4) \( \left(\frac{1}{2}, \infty\right) \)

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