The domain of definition of the function \( y=\frac{1}{\log _{10}(1-x)}+\sqrt{x+2} \) is (A) \( ...

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The domain of definition of the function \( y=\frac{1}{\log _{10}(1-x)}+\sqrt{x+2} \) is
(A) \( (-3,-2) \) excluding \( -2.5 \)
(B) \( [0,1] \) excluding \( 0.5 \)
(C) \( [-2,1) \) excluding 0
(D) none of these
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