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Title: Inverse Function -- from Wolfram MathWorld

Open Graph Title: Inverse Function -- from Wolfram MathWorld

X Title: Inverse Function -- from Wolfram MathWorld

Description: Given a function f(x), its inverse f^(-1)(x) is defined by f(f^(-1)(x))=f^(-1)(f(x))=x. (1) Therefore, f(x) and f^(-1)(x) are reflections about the line y=x. In the Wolfram Language, inverse functions are represented using InverseFunction[f]. As noted by Feynman (1997), the notation f^(-1)x is unfortunate because it conflicts with the common interpretation of a superscripted quantity as indicating a power, i.e., f^(-1)x=(1/f)x=x/f. It is therefore important to keep in mind that the...

Open Graph Description: Given a function f(x), its inverse f^(-1)(x) is defined by f(f^(-1)(x))=f^(-1)(f(x))=x. (1) Therefore, f(x) and f^(-1)(x) are reflections about the line y=x. In the Wolfram Language, inverse functions are represented using InverseFunction[f]. As noted by Feynman (1997), the notation f^(-1)x is unfortunate because it conflicts with the common interpretation of a superscripted quantity as indicating a power, i.e., f^(-1)x=(1/f)x=x/f. It is therefore important to keep in mind that the...

X Description: Given a function f(x), its inverse f^(-1)(x) is defined by f(f^(-1)(x))=f^(-1)(f(x))=x. (1) Therefore, f(x) and f^(-1)(x) are reflections about the line y=x. In the Wolfram Language, inverse functions are represented using InverseFunction[f]. As noted by Feynman (1997), the notation f^(-1)x is unfortunate because it conflicts with the common interpretation of a superscripted quantity as indicating a power, i.e., f^(-1)x=(1/f)x=x/f. It is therefore important to keep in mind that the...

Opengraph URL: https://mathworld.wolfram.com/InverseFunction.html

X: @WolframResearch

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Domain: mathworld.wolfram.com

DC.TitleInverse Function
DC.CreatorWeisstein, Eric W.
DC.DescriptionGiven a function f(x), its inverse f^(-1)(x) is defined by f(f^(-1)(x))=f^(-1)(f(x))=x. (1) Therefore, f(x) and f^(-1)(x) are reflections about the line y=x. In the Wolfram Language, inverse functions are represented using InverseFunction[f]. As noted by Feynman (1997), the notation f^(-1)x is unfortunate because it conflicts with the common interpretation of a superscripted quantity as indicating a power, i.e., f^(-1)x=(1/f)x=x/f. It is therefore important to keep in mind that the...
DC.Date.Modified2004-03-23
DC.Subject33
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/InverseFunction.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
DC.Relation.IsPartOfhttps://mathworld.wolfram.com/
DC.TypeText
Last-Modified2004-03-23
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inverse cosinehttps://mathworld.wolfram.com/InverseCosine.html
invertiblehttps://mathworld.wolfram.com/Invertible.html
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Inverse Function Theoremhttps://mathworld.wolfram.com/InverseFunctionTheorem.html
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Series Reversionhttps://mathworld.wolfram.com/SeriesReversion.html
Explore this topic in the MathWorld classroomhttps://mathworld.wolfram.com/classroom/InverseFunction.html
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