Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let 
be a function. Define 
by 
for all x . Then g is
Text Solution
Verified by ExpertsThe correct answer is:
C
. So 
cannot be onto. If 
is one-one and 
then 
. So, ‘ 
is one-one’ does not ensure that 
is one-one.
If 
is continuous for 
is also continuous for 
. This is obvious from the following graphical consideration.
So the answer is correct. The fourth answer is not correct from the above graphs 
is differentiable at P while 
has two tangents at P, i.e. , not differentiable at P .
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