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## Functions

Function is a commonly used word in everyday life having different meanings. But, in Mathematics, the concept of a function is very basic and is of fundamental importance. Moreover, it has a very specific meaning. In this chapter we define mathematically a function and their various types and study their properties in detail. Operation on functions, conditions of invertibility and computation of the inverse of an invertible function will also be discussed.

#### 3.1 Definition and Representation

Definition 3.1.    Let A and B be two sets. A binary relation f from A to B is called a function (or mapping) from A to B if each element of A is related to exactly one element of B. In other words, f is a function from A to B if for each ...

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