Composition and Inverse Functions

Function or mapping belongs to the relation because in a function from set A to set B there is a special relation that matches each member that exist in set A with each member in set B. In order to solve the problem about the function of composition and inverse we must understand the concept or basic principles of inverse composition and function.

Understanding Functions of Composition and Inverse Functions

Composition Functions

From two types of functions f (x) and g (x) we can form a new function using the operating system of the composition. The composition operation can be denoted by "o" (composition / roundabout), new functions that we can form from f (x) and g (x) are:

(g o f) (x) means f is inserted into g

(f o g) (x) means that g is inserted into f

Inverse Functions

If the function of set A to B is expressed by f, then the inverse of function f is a relation from set A to B. Thus, the inverse function of f: A -> B is f-1: B -> A. It can be concluded that the result of f-1 (x) is the region of origin for f (x) and vice versa.