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## Homework Statement

For any subset ¬ of the affine plane R^2, let G(¬) denote the group of all affine transformations f of R^2 such that f(¬) = ¬.

Exercise: Find all the elements of the group G = G(¬), where ¬ is the hyperbola xy = 1

in R^2.

## The Attempt at a Solution

Hey! I'm afraid I’m completely lost with this, any hints please on where to start would be very much appreciated. Thanks x