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Question

The domain of the function f(x)=1[x]27[x]+10 is
(where [.] denotes the greatest integer function)


A
R
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B
R[5,6)
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C
R[2,3)
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D
R[2,3)[5,6)
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Solution

The correct option is D R[2,3)[5,6)
f(x)=1[x]27[x]+10
For function to be defined,
[x]27[x]+100([x]5)([x]2)0[x]2,5x[2,3) and x[5,6)

Domain of f(x)=R[2,3)[5,6)

Mathematics

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