Maths Functions, Limits, Continuity and Differentiability JEE Main 2023 - ( Continuity and Differentiability ) Single Correct MCQ
Published on: August 13, 2026

Let f and g be two functions defined by and .Then (gof)(x) is

A
Continuous everywhere but not differentiable exactly at one point
B
Continuous everywhere but not differentiable at x = 1
C
Differentiable everywhere
D
Not continuous at x = 1

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Text Solution

Verified by Experts
The correct answer is:
A

Given,

and

Now, for gof(x)

Now plotting the diagram we get,

Now from above diagram we can say that function is continuous but not differentiate at x = -1 due to sharp corner.

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