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Consider f : {1, 2, 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. Find f–1 and show that (f–1)–1 = f.
Consider f : {1, 2, 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. Find f–1 and show that (f–1)–1 = f.
CBSE | Class 12 | Exercise 1.3 | Maths | NCERT | Relations and Functions
Consider f : {1, 2, 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. Find f–1 and show that (f–1)–1 = f.

solution:

Think about f : {1, 2, 3} → {a, b, c} given by f(1) = a, f(2) = b and f(3) = c

So f = {(a, 1), (b, 2), (c, 3)}

Subsequently f-1 (a) = 1, f-1 (b) = 2 and f-1 (c) = 3 Now, f-1 = {(a, 1), (b, 2), (c, 3)}

Subsequently, backwards of f-1 = (f-1 )- 1 = {(1, a), ( 2, b), ( 3, c)} = f Hence (f–1)– 1 = f.

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