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 10a

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:

f:ℤ→ℤ defined by f(n)=2n.

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:

f is one-to-one but not onto.

Counterexample:

Suppose 3 has a pre-image