Problem 10RQ

a) Define the inverse of a function.

b) When docs a function have an inverse?

c) Does the function f(n) = 10 − n from the set of integers to the set of integers have an inverse? If so, what is it?

SOLUTION

Step 1

a)Definition of inverse of a function

Let A and B are any two non empty sets. Define a function .

Then its inverse is defined as