Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The function 
( 
is the set of natural numbers) defined by 
is
Text Solution
Verified by ExpertsThe correct answer is:
B
.
Here, the range of the function is 
or 
.
which is a subset of 
(co-domain).
Hence, function is into.
Also, it is clear that 
is one-one or injective.
Hence, 
is injective only.
──────────────────────────────────────────────────────────────────────────────────────────
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
Fill in the blanks ． (i) The P of an element under a relation is given by , where ． (ii) The …
State for true and for false. (i) For any real number, . (ii) is an integer and [ ] is great…
Let be a relation from the set to itself such that , where are prime numbers}. Then, the number…
The total number of functions, , such that , is equal to
Let and be relations on the set such that
is a prime and is an integer
and is a prime and o…
Let be such that and . If , then is equal to