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Question

Mathematics Question on Sets

The domain of the function f(x)=1log⁡(1−x)+x+2f(x) = \frac{1}{\log(1-x)} + \sqrt{x+2} is

A

[−2,0)∩(0,1)[-2,0) \cap (0,1)

B

[−2,0)[-2,0)

C

[−2,1)[-2,1)

D

[−2,0)∪(0,1)[-2,0) \cup (0,1)

Answer

[−2,0)∪(0,1)[-2,0) \cup (0,1)

Explanation

Solution

The correct answer is (D) : [−2,0)∪(0,1)[-2,0) \cup (0,1).