In 44-55 indicate which of the function in the referenced exercise are one-to-one correspondences. For each function that is a one-to-one correspondence, find the inverse function. Exercise 12b
To check:
Whether the given function is one-to-one correspondence and also find the inverse of the given function if it exists.
Given information:
Concept used:
One-to-one function: The distinct elements in domain are mapped with distinct elements in co-domain.
Onto function: Every element in co-domain must be mapped with the element in domain.
Calculation:
Before find its inverse first prove that
To prove
Let
Consider,
By definition of
Subtracting
Divided by
Hence,
To proof
Let