Provide solution for RD Sharma maths class12 Chapter Functions exercise 2.1 question 5 sub question (xiii)
Injective (one-one): function means every element in the domain has a distinct image in the co-domain.
Surjective(Onto): function means every element in the co-domain has at least one pre image in the domain of function.
Injection: Let x,y be any two element in the domain Q,
such that .
Therefore, f is an injection.
Surjection: Let y be any two element in the co-domain Q, such that for some element x in Q.
which may not be Q.
So, f is not surjective.
Therefore, f is not bijective.