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Question
Select the correct answer from given alternatives
The domain of `1/([x] - x)` where [x] is greatest integer function is
Options
R
Z
R − Z
Q - {o}
Solution
R − Z
Explanation;
f(x) = `1/([x]-x)=1/(-{x})`
For f to be defined, {x} ≠ 0
∴ x cannot be an integer.
∴ Domain = R – Z
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