The domain of definition of the function `y=(1)/(log_(10)(1-x))+sqrt(x – InterviewSolution

1.	The domain of definition of the function `y=(1)/(log_(10)(1-x))+sqrt(x+2)` isA. (-3, -2) excluding -2, 5B. [0, 1] excluding 0.5C. (-2, 1) excluding 0D. None of these
Answer» Correct Answer - C For domain of y, `1-x gt 0, 1-x ne 1 and x+2 gt 0` `rArr x lt 1, x ne 0 and x gt -2` `rArr -2 lt x lt 1` excluding 0 `rArr x in (-2,1) -{0}`

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