1. Chapter 1 Class 12 Relation and Functions
  2. Concept wise
  3. Finding Inverse
Check sibling questions

How to find Inverse?

Last updated at Dec. 16, 2024 by Teachoo

We find inverse in two scenarios

  1. When f is given as set
  2. When f is given as a function

 

When f is given as set

f = {(1, 4), (2, 5), (3, 6)}

 

In f -1 ,

We reverse all the elements

(1, 4) becomes (4, 1)

(2, 5) becomes (5, 2)

(3, 6) becomes (6, 3)

 

∴ f -1 = {(4, 1), (5, 2), (6, 3)}

 

When f is given as

 f(x) = 2x + 1

 

We put f(x) = y

and find y in terms of x

 

f(x) = 2x + 1

y = 2x + 1

y – 1 = 2x

2x = y – 1

x = (y - 1)/2

 

∴ f -1  = (y - 1)/2

To summarise

 

  1. Chapter 1 Class 12 Relation and Functions
  2. Concept wise

    3. Finding Inverse

    Inverse of function: Proof questions →
Inverse of function: Proof questions →
Chapter 1 Class 12 Relation and Functions
Concept wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo