Example 28 - Chapter 1 Class 12 Relation and Functions - Part 3

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.
Remove Ads

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. (b) f = {(1, 2), (2, 1), (3, 1)} A function has inverse if it is one-one and onto Check one one f = {(1, 2), (2, 1), (3, 1)} Since 2 & 3 have the same image 1 f is not one-one Since, f is not one-one, it does not have an inverse

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.