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Maths Functions, Limits, Continuity and Differentiability General More Than One Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

If f(x) = x – 1, then on the interval [0, π ]

tan (f(x)) and

are both continuous

tan (f(x)) and

are both discontinuous

tan (f(x)) and f –1 (x) are both continuous

tan (f(x)) is continuous but

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(c,d)f(x) = x–1

which is not continous at x = 2

tanf(x) = tan 

∴ 

⇒  tanf(x) is continuous in [0, π ] y = f –1 (x) = 2(1+x), which is also continous in [0, π ]

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