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Let A = {A, B, C, D} And F : A → a Be Given by F = {( A,B ),( B , D ),( C , a ) , ( D , C )} Write F . - Mathematics

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Question

Let A = {abcd} and f : A → A be given by f = {( a,b ),( b , d ),( c , a ) , ( d , c )} write `f^-1`. [NCERT EXEMPLAR]

Sum

Solution

We have , 

A = {a, b, c, d} and f : A 

→ A be given by f = {(a, b), (b, d), (c, a), (d, c)}

Since, the elements of a function when interchanged gives inverse function.

so, f -1 = {(b, a), (d, b), (a, c), (c, d)}

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Chapter 2: Functions - Exercise 2.5 [Page 74]

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RD Sharma Mathematics [English] Class 12
Chapter 2 Functions
Exercise 2.5 | Q 41 | Page 74

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