Let ƒ(x) = , where n ∈ I and g (x) = , then g [ƒ(x)] is –

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let ƒ(x) = , where n ∈ I and

g (x) = , then g [ƒ(x)] is –

Does not exist

Text Solution

Verified by Experts

The correct answer is:

g [ƒ(x)] =

∴ g [ƒ (x)] = sin 2 x + 1, x ≠ n π

3, x = n π

R.H.L. = g [ƒ(0 + h)] = (sin 2 h + 1) = 1

L.H.L = g [ƒ(0 – h)] = (sin 2 h + 1) = 1

∴ g[ƒ (x)] = 1.

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