preimage

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preimage

Rhymes with -ɪmɪdʒ

noun preimages

For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ⁻¹(B) = {x ∈ X : ƒ(x) ∈ B}. The preimage of #92;#123;4,9#92;#125; under the function f#58;#92;R#92;rightarrow#92;R#58;f(x)#61;x² is the set #92;#123;-3,-2,#43;2,#43;3#92;#125;.
Similar: inverse image

Translations

Every language

noun set of all elements that map into a given subset of the codomain of a function

Español	imagen inversa, antiimagen, contraimagen
中文	原像 yuánxiàng
Português	pré-imagem
Français	préimage, image réciproque
Deutsch	Urbild

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MLA

"preimage." Wiktionary, via Micwyn, micwyn.com/word/preimage. Accessed 6 Nov. 2026.

APA

preimage. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/preimage

Chicago

"preimage." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/preimage.

BibTeX

@misc{preimage_2026,
  title = {preimage},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/preimage},
  urldate = {2026-11-06}
}