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If A = {a, b, c, d} and f = {a, b), (b, d), (c, a), (d, c)}, show that f is one-one from A onto A. Find f–1

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प्रश्न

If A = {a, b, c, d} and f = {a, b), (b, d), (c, a), (d, c)}, show that f is one-one from A onto A. Find f–1

योग
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उत्तर

f is one-one since each element of A is assigned to distinct element of the set A.

Also, f is onto since f(A) = A.

Moreover, f–1 = {(b, a), (d, b), (a, c), (c, d)}

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अध्याय 1: Relations And Functions - Solved Examples [पृष्ठ ४]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 1 Relations And Functions
Solved Examples | Q 10 | पृष्ठ ४

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