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
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