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Select the correct answer from given alternatives The domain of 1[x]-x where [x] is greatest integer function is - Mathematics and Statistics

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प्रश्न

Select the correct answer from given alternatives

The domain of `1/([x] - x)` where [x] is greatest integer function is

विकल्प

  • R

  • Z

  • R − Z

  • Q - {o}

MCQ

उत्तर

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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अध्याय 6: Functions - Miscellaneous Exercise 6.1 [पृष्ठ १३०]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Miscellaneous Exercise 6.1 | Q I. (9) | पृष्ठ १३०

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