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

 

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.