# RD Sharma Solutions for Class 12 Maths Chapter 2 – Functions

A function is a term used in mathematics that is considered a relation between a certain set of inputs and another set of permissible outputs with the property that each input is related to exactly one output. To give an instance, let us consider X and Y as only two non-empty sets. Mapping from X to Y will be described as a function only when every element in set X has one end, only one image in set Y.

In other words, another definition of a function can be taught that in the following way, it is a relation "f" in which each element of "X" can be mapped with only one element belonging to set "Y". Moreover, in a function, there can't be two pairs with the same first element.

Besides just learning the meaning of functions in maths, in RD Sharma Solutions for Class 12 Maths Chapter 2 functions, students are also exposed to various other concepts such as the Classification of functions. In this topic, they will learn about different types of functions and their related problems. The types include Constant function, Identity function, Modulus function, Integer function, Square root function, Reciprocal function, Logarithmic function, Exponential function.

After studying the types, they are being taught on another important topic called Operations on real functions. In this, the students will learn about the following operations, Addition: (f + g) (x) = f (x) + g (x) Subtraction: (f – g) (x) = f (x) – g (x) Multiplication: (f * g) (x) = f (x) * g (x) Division: (f / g) (x) = f (x) / g (x), where g(x) 0

Furthermore, students get a wide knowledge on the different kinds of functions. They are One-one function, Onto function, Many one function, In to function, Bijection. Students are also taught how to solve exercise problems using the concepts that they have just learnt.