In 10-14 S denotes the set of real numbers strictly between 0 and 1. That is
Let a and b be real numbers with
To show:
where
Given information:
Let
Concept used:
A function is said to be one-to-one function if the distinct elements in domain must be mapped with distinct elements in co-domain.
A function is onto function if each element in co-domain is mapped with atleast one element in domain.
Proof:
It is given that
Define
To show:
Let
i.e.
To show: