Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let 
. Let 
be defined by 
. Then,
A
is bijective B
is one-one but not onto C
is onto but not one-one D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Let 
and 
be two arbitrary elements in 
Then, 
So, 
is an injective mapping.
Again, let 
be an arbitrary element in 
, then 
Clearly, 
, thus for all 
, there exists
such that 
Thus, every element in the co-domain 
has its pre-image in 
, so 
is bijective.
Hence, 
is bijective.
──────────────────────────────────────────────────────────────────────────────────────────
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