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Question

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

A
(,1)(1,)
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B
(,2)(2,)
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C
(2,1][1,2)
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D
(2,1)(1,2)
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Solution

The correct option is C (2,1][1,2)
f(x)=1|x||x|2
For square root to be defined,
1|x||x|20|x|1|x|201|x|<2x(2,1][1,2)

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