Ex 1.3, 11 - Consider f: {1, 2, 3} -> {a, b, c}, f(1) = a - Finding Inverse

Ex 1.3, 11 - Chapter 1 Class 12 Relation and Functions - Part 2


Transcript

Ex 1.3, 11 Consider : {1, 2, 3} {a, b, c} given by (1) = a, (2) = b and (3) = c. Find 1 and show that 1 1 = . : {1, 2, 3} {a, b, c} is given by, (1) = a, (2) = b, and (3) = c Finding So, = {(1, a) ,(2, b) ,(3, c)} = {(a, 1) ,(b, 2) ,(c, 3)} Hence, (a) = 1, (b) = 2, and (c) = 3 Now, 1 = {(a, 1) ,(b, 2) ,(c, 3)} = {(1, a) ,(2, b) ,(3, c)} = Hence, 1 1 =

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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.