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Question

The domain of the function f(x)=|x|2|x|5 is

A
(,5) (5,)
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B
(,5) [2,2] (5,)
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C
[2,2]
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D
(,5] [2,2] [5,)
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Solution

The correct option is B (,5) [2,2] (5,)
For f(x) to be defined,
|x|2|x|50 and |x|50
|x|20 and |x|5>0
or |x|20 and |x|5<0
x(,5) (5,)
or x[2,2]
Df=(,5) [2,2] (5,)

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