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# RD Sharma Class 12 Maths Solutions Chapter 2 - Functions Last updated date: 25th Nov 2023
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## An Overview Of Vedantu’s Class 12 Math Chapter - 2 Functions Solutions Of Rd Sharma

Functions are one of the most important Chapters for Class 12 students. It is the basics of calculus that we study in higher Classes. The free PDF of RD Sharma Class 12 Chapter 2 solutions are prepared by Vedantu experts to make the students understand easily. All solutions are particularly designed to provide students with a step-by-step approach so that they can prepare for their exams by referring to the solutions given.

## Class 12 Mathematics Chapter 2

Students who want to get a decent academic score in the exams can take help from RD Sharma Solutions Class 12 Mathematics Chapter 2 at no cost. Experts created the solutions to help students gain confidence in their comprehension of the topics discussed in this Chapter and approaches for solving problems in a quicker time.

Our subject experts have prepared the RD Sharma Solutions for Class 12 solution based on the CBSE Class 12 syllabus and the types of questions asked in the CBSE Class 12 board exam. While working on problems, students can consult RD Sharma Solutions for step-by-step instructions and immediate clarification of doubts.

Class 12 Functions Chapter 2 Function, domain, and co-domain of functions are explained by RD Sharma Solutions. There are four exercises in all. Answers to the problems in RD Sharma Solutions for Class 12 are freely accessible to students.

Let's take a closer look at some of the key topics covered in this Chapter:

• Classification of functions

• Types of functions

• Constant function

• Identity function

• Modulus function

• Integer function

• Exponential function

• Logarithmic function

• Reciprocal function

• Square root function

• Operations on real functions

Operations on real functions deals with the application of mathematical operations, that is to say,

• Subtraction.

• Multiplication.

•  Division.

• Kinds of functions

• One-one function

• On-to function

• Many one functions

• In to function

• Bijection

• Composition of functions

When Operation to function composes, a new function is referred to as a composition function. For example, if two operations A and B, compose a new function which is C, which is this manner c(x) = B(A(x)).

• Properties of the composition of functions

• Associative Properties.

• Commutative Property.

• The Inverse of a function

When B and A return the output, which is the value of input of B, then in such a case we can say that A is the inverse of B, and this is regarded as the inverse function.

• The Inverse of an element

The inverse of an element refers to the concepts of the reversal of sign in relation with the addition, and also, in relation to the multiplication, it refers to the process of reciprocation. When the given element combines with another element it negates the effect of the combination.

• Relation between graphs of a function and its inverse

When the function reverses the effect of another function, then it is referred to as the inverse of a function. The relation between the same, that is to say, function and its inverse, is obtained in the graph by the reflection of the original function graph, across the line, where, x = y.

A student can find anything and everything relevant to Chapter 2 of Class 12 Mathematics under this page. Vedantu has a staff of dedicated educators who are eager to pass on their knowledge and skills in the most efficient manner possible. Furthermore, if a student has any questions about Mathematics Class 12, they can click on to the website and submit their questions, as well as receive the RD Sharma Solution for Class 12 Mathematics Chapter 2 PDF edition. The experts are there for you if you need them, they will promptly respond and clear your doubts up.

### What is a Function?

Let X and Y to be two non-empty sets. A function f from X to Y denoted as f: X → Y is a rule which says that each element x ∈ X is associated with a unique element y ∈ Y. f is thus defined as a function from X to Y.

The domain of f is composed of the elements of X, while the codomain of f is composed of the elements of Y. The range of X, which is a subset of Y, is the image of the element of X.

This free PDF of RD Sharma Solutions Class 12 Mathematics Functions is accessible on the Vedantu platform and has an exceptional solution to all of the textbook's problems.

### While preparing RD Sharma Answers, Students should keep the Following Guidelines in Mind:

Before attempting the questions, we suggest students read them attentively. Since the questions from this Chapter-2 Functions contain a few tough questions, they may end up with the incorrect answer if the questions are not comprehended properly which can then cost them a lot of time

The Vedantu platform offers a free PDF that provides a step-by-step approach to a solution. As a result, students are advised to go over the content thoroughly without skipping any of the sections.

The RD Sharma Solutions for Class 12 Mathematics Chapter 2 contains a large number of exercise and practice problems that students can use to prepare for their exams. Read carefully all the questions and answers with a mind free of any stress or tension.

## FAQs on RD Sharma Class 12 Maths Solutions Chapter 2 - Functions

1. What are the important topics in Chapter 2-Functions?

RD Sharma Solutions for Chapter 2 Functions of Class 12 Mathematics fairly covers all of the main topics and subtopics. Types of functions, the composition of functions, invertible functions, and binary operations are among the main topics discussed. The set of problems provided in these solutions is effective in improving students' problem-solving abilities. The primary purpose of these answers is to assist students in achieving good results on their Class 12 exams. Preparing for numerous competitive exams becomes a lot easier with the help of these useful resources.

2. Is it necessary to practise all of the questions in RD Sharma for Class 12 Mathematics Relations and Functions?

The problems in RD Solutions Class 12 Mathematics Relations and Functions are well-framed to help students gain a full comprehension of the concept. It is not necessary to practise each question in writing.  Students can simply master the principles and their applications by practicing either orally or in written form all of the questions included in these solutions.