The function f(x) = is defined for x belonging to –

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

Published by: CGP EDU Academic Team

Published on: August 12, 2026

(– ∞ , 0)

(0, 1)

(1, ∞ )

(0, ∞ )

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(b, c)

≥ 0

Now

Case I

0 < x 2 < 1

⇒ –1 < x < 1 and x 2 ≠ 1

⇒ x ≠ –1, 1

and 0 < x < 1

So x ∈ (0, 1)

Case II

x 2 > 1

⇒ x < – 1, or x > 1

and x 2 ≠ 1 ⇒ x ≠ –1, 1

and x > 1

x ∈ (1, ∞ )

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