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InverseFunction

Represents the inverse of a function.

$ wo 'InverseFunction[Sin]'
ArcSin

A geometric transform inverts by inverting its homogeneous matrix, which covers every transform constructor:

$ wo 'InverseFunction[TranslationTransform[{1, 2}]]'
TransformationFunction[{{1, 0, -1}, {0, 1, -2}, {0, 0, 1}}]

$ wo 'InverseFunction[RotationTransform[Pi/2]][{0, 1}]'
{1, 0}