Explain solution RD Sharma class 12 chapter Functions exercise 2.1 question 5 sub question (vii) maths
As defined by
One-one function means every element in the domain has a distinct image in the co-domain.
Onto function means every element in the co-domain has at least one pre image in the domain of function.
Bijection ⇒ Function should fulfill the injection, surjection condition.
Let be any two elements in domain(Z) such that
So, f is an injection.
Let y be any element in the co-domain(Z) such that for some element x in Z( domain)
which is in Z.
So, Z is a surjection and f is a bijection.