Relations and Functions

This topic covers the various types of relations that exist between two or more numbers. Some of these relations are reflexive, transitive, symmetric, asymmetric relations, etc.

In this topic, we will learn in detail about the composition of two functions 'f' and 'g' which is defined through solved examples.

In this topic, the inverse functions and its definitions are described in detail. It describes the concept of invertible functions along with its diagram. It also provides some points based on this concept.

In this topic, binary operations of sets and functions are discussed. Binary operations include the four basic operations which are addition, subtraction, multiplication and division.

The topic will discuss the properties of binomial operations. We will learn different properties such as closure, associative and many more.

This topic enhances our knowledge on the concept of identity and inverse function. We will learn their definitions along with the example. We will also understand the concept of additive and multiplicative inverse.

This topic deals with the binary composition tables in brief. We will understand the meaning of the operation table along with its formula. We will learn how to make a table by using various binary operations.