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Question

The domain of the function f(x)=22xx2 is


A

[3,3]

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B

[13,1+3]

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C

[2,2]

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D

[23,2+3]

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Solution

The correct option is B

[13,1+3]


f(x)=22xx2
Since, 22xx20,
x2+2x20x22x2+110(x1)2(3)20[x(13)]0[x(13)]0(13)x(1+3)
Thus, dom(f)=[13,1+3]


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