Math, asked by nani2467, 2 months ago

explain the the image theorem?​

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Answered by rahuljagtap03857
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Image (mathematics)

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For other uses, see Image (disambiguation).

In mathematics, the image of a function is the set of all output values it may produce.

f is a function from domain X to codomain Y. The yellow oval inside Y is the image of f.

More generally, evaluating a given function fat each element of a given subset A of its domain produces a set, called the "image of Aunder (or through) f ". Similarly, the inverse image (or preimage) of a given subset B of the codomain of f, is the set of all elements of the domain that map to the members of B.

Image and inverse image may also be defined for general binary relations, not just functions.

Definition

Inverse image

Notation for image and inverse image

Examples

Properties

See also

Notes

References

Last edited 23 days ago by MinusBot

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