मराठी

If A = {1, 2, 3} and f, g are relations corresponding to the subset of A × A indicated against them, which of f, g is a function? Why?f = {(1, 3), (2, 3), (3, 2)} g = {(1, 2), (1, 3), (3, 1)} - Mathematics

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प्रश्न

If A = {1, 2, 3} and f, g are relations corresponding to the subset of A × A indicated against them, which of f, g is a function? Why?
f = {(1, 3), (2, 3), (3, 2)}
g = {(1, 2), (1, 3), (3, 1)}

बेरीज

उत्तर

f is a function since each element of A in the first place in the ordered pairs is related to only one element of A in the second place while g is not a function because 1 is related to more than one element of A, namely, 2 and 3.

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Inverse of a Function
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पाठ 1: Relations And Functions - Solved Examples [पृष्ठ ४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 1 Relations And Functions
Solved Examples | Q 9 | पृष्ठ ४

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