# RD Sharma Solutions Class 12 Maths Chapter 2 Exercise 2.5

RD Sharma Solutions Class 12 Maths Chapter 2 Exercise 2.5: RD Sharma Solutions for Class 12, Maths Chapter 2, helps students who wish to achieve a good academic score in the exam. Solutions are expertly designed to increase students’ confidence to understand the concepts covered in this chapter and how to solve problems in a short period of time.

Our experts prepare these materials based on the Class 12 CBSE syllabus, keeping in mind the types of questions asked in the RD Sharma solution. Chapter 2 Functions explains the function and domains of functions and functions. It has four practices. Students can easily get answers to problems in RD Sharma Solutions for Class 12.

## RD Sharma Solutions Class 12 Maths Chapter 2 Exercise 2.5: Important Topics From The Chapter

Let us have a look at some of the important concepts that are discussed 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
• Kinds of functions
• One-one function
• On-to function
• Many one function
• In to function
• Bijection
• Composition of functions
• Properties of the composition of functions
• Composition of real function
• Inverse of a function
• Inverse of an element
• Relation between graphs of a function and its inverse

## Important Questions from RD Sharma Solutions Class 12 Maths Chapter 2 Exercise 2.5

Question :

Consider  given by . Show that  is invertible. Find the inverse .

test of

Let  and  be two elements of domain  such that

is one-one.

test for
Let  be in the co-domain , such that

(Domain)
is onto.
So,  is a bijection and hence, it is invertible.

Now we have to find
Let               —- ( 1 )

From ( 1 ),
So,
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