preimage
"preimage" is a 8-letter English headword indexed on PlainSpell.
The verdict
“preimage” is uncommon English (outside the top frequency list), classed as a noun. The kind of spelling people second-guess.
- Unranked
- below top-frequency English
- 8
- letters
According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - 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 : ...
Corpus desk
Index EN-preimage · preimage · English
preimage · unranked · 0 variants · 0 confusables
- FREQ-UNRANKED Unranked
- LEN-LONG 8 letters
- VOW-4 4 vowels
- CONFUS-0 No pairs
- VAR-0 0 variants
- BOOK-THIN "P" thin
- PHOTO-UNK Peer pending
Read with this headword: Spelling guide for this pattern
Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.
| Property | Value |
|---|---|
| Headword | preimage |
| Language | English |
| Part of speech | Noun |
| Letters | 8 |
| Misspellings tracked | 0 |
| Confusable pairs | 0 |
| Source | Wiktionary (kaikki.org) |
Long-tail rank of “preimage” in English
Rare enough to double-check
preimage is uncommon English outside the top frequency list, classed as anoun. Rarity is why readers land here mid-draft. Gloss: "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 : ...".
We couldn't generate a plausible misspelling set for preimage, which points to an orthography that plays by predictable English rules. We don't track a confusable pairing for this entry, since its spelling is unusual enough that it doesn't cluster with a lookalike.
Etymologically, the entry records: From pre- + image. The correct English form is preimage, spelled P-R-E-I-M-A-G-E.
Definition
- 1For 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}.
Recorded use
Wiktionary examplesThese source excerpts show how preimage appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.
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;.
1967 [Academic Press], Francois Treves, Topological Vector Spaces, Distributions and Kernels, 2006, Dover, page 22, The preimage of a neighborhood U of 0 in E must be a neighborhood of (0,x), since (0,x) is mapped into 0.
Etymology
From pre- + image.
Synonyms
This word in other languages
Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA). See the methodology for how each field is sourced and updated.