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InverseFunction

InverseFunction[f]
represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y.

InverseFunction[f, n, tot]
represents the inverse with respect to the n

argument when there are tot arguments in all.

MORE INFORMATION

In OutputForm and StandardForm, InverseFunction[f] is printed as f^(-1).

As discussed in Functions That Do Not Have Unique Values, many mathematical functions do not have unique inverses. In such cases, InverseFunction[f] can represent only one of the possible inverses for f.

InverseFunction is generated by Solve when the option InverseFunctions is set to Automatic or True.

Basic Examples (2)

The "inverse function" of Sin is ArcSin:

Symbolic inverse function:

Derivative of an inverse function:

Solve InverseSeries Composition Derivative Identity

Function Names as Expressions

Working with Operators

Equations in One Variable

Inverse Functions

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