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Let $f (x) = \sqrt{|x| - \{x\}}$ (where {.} denotes the fractional part of x) and X, Y are its domain and range, respectively). Then

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x∈-∞,12 and Y∈12,∞

x∈-∞,-12 ∪ 0,∞ and Y∈12,∞

X∈-∞,-12 ∪ 0,∞ and Y∈0,∞

None of these

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detailed solution

Correct option is C

fx=x-x is defined if x≥x or x∈-∞-12∪0,∞ or Y∈0,∞.

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Let fx=x-x (where {.} denotes the fractional part of x) and X, Y are its domain and range, respectively). Then

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Ready to Test Your Skills?

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Let $f (x) = \sqrt{|x| - \{x\}}$ (where {.} denotes the fractional part of x) and X, Y are its domain and range, respectively). Then