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For a given function f, another function, denoted f−1, that reverses the mapping action of f; (formally) given a function f:X→Y, a function g:Y→X such that, ∀x∈X,f(x)=y⟹g(y)=x.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
- Halving is the inverse function of doubling.
- If an inverse function exists for a given function, then it is unique.
- The inverse function of an inverse function is the original function.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: function, mathematical function, single-valued function, map, mapping
No etymology was provided for this word.
Across languages
Translations
27 source translations are retained for this English entry.
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Catalan:
funció inversa
— function that reverses the mapping action of a given function
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Czech:
inverzní funkce
— function that reverses the mapping action of a given function
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Danish:
invers funktion
— function that reverses the mapping action of a given function
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Danish:
omvendt funktion
— function that reverses the mapping action of a given function
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Finnish:
käänteisfunktio
— function that reverses the mapping action of a given function
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French:
fonction réciproque
— function that reverses the mapping action of a given function
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German:
Umkehrfunktion
— function that reverses the mapping action of a given function
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German:
inverse Funktion
— function that reverses the mapping action of a given function
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Hungarian:
inverz függvény
— function that reverses the mapping action of a given function
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Italian:
funzione inversa
— function that reverses the mapping action of a given function
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Japanese:
逆関数
(gyaku-kansū)
— function that reverses the mapping action of a given function
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Korean:
역함수
(yeokhamsu)
— function that reverses the mapping action of a given function
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Latin:
fūnctiō inversa
— function that reverses the mapping action of a given function
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Norwegian Bokmål:
invers funksjon
— function that reverses the mapping action of a given function
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Norwegian Nynorsk:
invers funksjon
— function that reverses the mapping action of a given function
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Polish:
funkcja odwrotna
— function that reverses the mapping action of a given function
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Portuguese:
função inversa
— function that reverses the mapping action of a given function
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Russian:
обратная фу́нкция
(obratnaja fúnkcija)
— function that reverses the mapping action of a given function
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Serbo-Croatian:
инверзна функција
— function that reverses the mapping action of a given function
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Serbo-Croatian:
inverzna funkcija
— function that reverses the mapping action of a given function
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Slovak:
inverzná funkcia
— function that reverses the mapping action of a given function
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Slovene:
inverzna funkcija
— function that reverses the mapping action of a given function
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Spanish:
función recíproca
— function that reverses the mapping action of a given function
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Spanish:
función inversa
— function that reverses the mapping action of a given function
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Swedish:
invers funktion
— function that reverses the mapping action of a given function
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Tagalog:
baligtad na kabisa
— function that reverses the mapping action of a given function
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Ukrainian:
обернена функція
(obernena funkcija)
— function that reverses the mapping action of a given function
