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Question
Is the given relation a function? Give reasons for your answer.
g = `"n", 1/"n" |"n"` is a positive integer
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Solution
g = `"n", 1/"n" |"n"` is a positive integer
Therefore, the element n is a positive integer and the corresponding `1/"n"` will be a unique and distinct number.
Therefore, every element in the domain has unique image.
A relation is said to be function if every element of one set has one and only one image in other set.
Hence, g is a function.
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