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Is the given relation a function? Give reasons for your answer. g = nnnn,1n∣n is a positive integer

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प्रश्न

Is the given relation a function? Give reasons for your answer.

g = `"n", 1/"n" |"n"` is a positive integer

योग
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उत्तर

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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अध्याय 2: Relations and Functions - Exercise [पृष्ठ २८]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 2 Relations and Functions
Exercise | Q 10.(iii) | पृष्ठ २८

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