Domain of f(x) = where {.} denotes the fractional part, in…

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Domain of f(x) = where {.} denotes the fractional part, in [-1, 1], is

Text Solution

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The correct answer is:

We must have

2{x} 2 − − 3{x} + 1 ≥ ≥ 0 ⇒ ⇒ {x} ≥ ≥ 1 or {x} ≤ 1/2

Thus we have 0 <{x} ≤ 1/2

⇒ ⇒ x ∈ ∈ , n ∈ ∈ I.

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