Definitions for inverse function
in·verse func·tion

Princeton's WordNetRate this definition:4.0 / 1 vote

1. inverse functionnoun

   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

WiktionaryRate this definition:2.6 / 5 votes

1. inverse functionnoun

   A function that does exactly the opposite of another; formally the inverse function of a function exists such that: .

WikipediaRate this definition:0.0 / 0 votes

1. Inverse function

   In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by f − 1 . {\displaystyle f^{-1}.} For a function f : X → Y {\displaystyle f\colon X\to Y} , its inverse f − 1 : Y → X {\displaystyle f^{-1}\colon Y\to X} admits an explicit description: it sends each element y ∈ Y {\displaystyle y\in Y} to the unique element x ∈ X {\displaystyle x\in X} such that f(x) = y. As an example, consider the real-valued function of a real variable given by f(x) = 5x − 7. One can think of f as the function which multiplies its input by 5 then subtracts 7 from the result. To undo this, one adds 7 to the input, then divides the result by 5. Therefore, the inverse of f is the function f − 1 : R → R {\displaystyle f^{-1}\colon \mathbb {R} \to \mathbb {R} } defined by f − 1 ( y ) = y + 7 5 . {\displaystyle f^{-1}(y)={\frac {y+7}{5}}.}

ChatGPTRate this definition:0.0 / 0 votes

1. inverse function

   An inverse function is a function that reverses the inputs and outputs of the original function. In other words, it undoes the action of the original function. If the function f takes x to y, then the inverse function f^-1 (read as "f inverse") takes y back to x. This means that for every output y of the original function, there is a corresponding input x for the inverse function such that f(x) = y and f^-1(y) = x.

WikidataRate this definition:4.0 / 2 votes

1. Inverse function

   In mathematics, an inverse function is a function that undoes another function: If an input x into the function f produces an output y, then putting y into the inverse function g produces the output x, and vice versa. i.e., f(x)=y, and g=x. More directly, g=x, meaning g(x) composed with f(x) leaves x unchanged. A function f that has an inverse is called invertible; the inverse function is then uniquely determined by f and is denoted by f −1.

Matched Categories

1. • Function

How to pronounce inverse function?

1. Alex

   US English

   David

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   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

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   Australian

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   Neerja

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   British

   Wendy

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   South African

How to say inverse function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of inverse function in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of inverse function in Pythagorean Numerology is: 5

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=inverse function
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Inverse_Function
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Inverse_Function
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=inverse function