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?
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
b) A function has an inverse if and only if is bijective.