Answer to Question #186220 in Discrete Mathematics for Ammee

Question

Let f be a function from A to B. Find f^-1

Answer 1

Suppose A and B are nonempty sets and f : A → B is a function.

If a function is one-to-one and onto, then it is invertible.

Now,

A function f^-1 : B → A is called an inverse function for f if it satisfies the following condition:

For every x ∈ A and y ∈ B, f(x) = y if and only if f^-1(y) = x.