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Question

The domain of the function f(x)=sin(log(x24x+4))([x]1), where [.] denotes the greatest integer function, is  


A
R[2,)
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B
(0,)
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C
R[1,)
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D
R[1,2]
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Solution

The correct option is C R[1,2]
f(x)=sin(log(x24x+4))[x]1

[x]10
[x]1x[1,2)

x24x+4>0
(x2)2>0
x20x2

Therefore, domain of f is R[1,2]

Mathematics

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