What should be the relation between range and codomain of a function, for a function to be an into function -

Range < Co domain

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Range > Co domain

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Range = Co domain

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None of the above.

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Solution

The correct option is A
Range < Co domain

The definition of an into function says that into function is something in which some elements of co-domain are not mapped to any element of domain or some elements in co –domain will never be an output. So the range will be a subset of the co –domain.

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A

B

The function f o g (x) can be defined if

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