Range of f(x) = is

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

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Range of f(x) = is

{0, 1 + π π }

Text Solution

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The correct answer is:

is defined if ≤ 1

⇒ ⇒ x ≠ ≠ 0 ⇒ ⇒ 1 + x 2 - 2|x| ≤ 0

⇒ ⇒ (|x| − − 1) 2 ≤ 0 ⇒ ⇒ x = 1, -1

Thus domain of f(x) is {1, -1}. Hence range

is {1, 1 + π π }.

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