Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let the function 
be defined on the interval 
. Define functions 
and 
in 
satisfying 
and 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Clearly 
is the odd extension of the function 
and 
is the even extension.
Since 
are even functions and 
and odd functions.
and 
Clearly this function satisfies the restriction of the problem.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let and be finite sets such that . If the total number of relations that can be defined from to…
If for every real number ， then the maximum value of is .
If is function such that , for ， then is equal to .
If , then is equal to .
The number of functions that can be defined from the set into the set is equal to .
If ， then the value of must be