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Question

The domain of definition of the function f(x)=1|[x1]|5 is

A
(,7][7,)
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B
(,)
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C
(7,)
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D
(7,)
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Solution

The correct option is A (,7][7,)

f(x)=1|[|x|1|]|5

For the function to be defined

|[|x|1]|5>0|[|x|1]|>55>[|x|1]>55>|x|16

4>|x|7

4>|x| is not possible

|x|7

7x7

x(,7][7,)

Hence, option A is correct.


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