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 finding inverse.jpg

 

  1. Chapter 1 Class 12 Relation and Functions
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
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