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Question

The domain of the function f(x)=1log10(1x)+x+2 is


A

[3,2.5][2.5,2]

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B

[2,0][0,1]

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C

[0,1]

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D

None of these

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Solution

The correct option is B

[2,0][0,1]


x+20 i.e., x2
log10(1x)01x1x0
Again 1x>01>xx<1
All these can be combined as 2x<0 and 0<x<1.


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