What does "inverse function" mean?

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.

What is a synonym for "inverse function"?

Common synonyms include: inverse, inversions.

Inverse function

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
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.
"Halving is the inverse function of doubling."
2
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 wordnet

Synonyms

All synonyms

inverse inversions

Example

More examples

"Halving is the inverse function of doubling."

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