1. Chapter 1 Class 12 Relation and Functions (Term 1)
  2. Concept wise
  3. Finding Inverse

Example 28 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at Aug. 11, 2021 by

Example 28 - Let S = {1, 2, 3}. Determine if inverse. Find f-1 - Examples

Example 28 - Chapter 1 Class 12 Relation and Functions - Part 2

 

  1. Chapter 1 Class 12 Relation and Functions (Term 1)
  2. Concept wise

    3. Finding Inverse

    Inverse of function: Proof questions →

Transcript

Example 28 Let S = {1, 2, 3}. Determine whether the functions f : S → S defined as below have inverses. Find f–1, if it exists. (a) f= {(1, 1), (2, 2), (3, 3)} A function has inverse if it is one-one and onto Check one one f = {(1, 1), (2, 2), (3, 3)} Since each element has unique image, f is one-one Check onto Since for every image, there is a corresponding element, ∴ f is onto. Since function is both one-one and onto it will have inverse f = {(1, 1), (2, 2), (3, 3)} f-1 = {(1, 1), (2, 2), (3, 3)}

Chapter 1 Class 12 Relation and Functions (Term 1)
Concept wise

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