Consider the circles c1, centered at (0,0) with radius 2, and c2, centered at (4,0) with radius 1. inversion in either circle is an improper isometry of the half-plane, and so (inversion in c1) followed by (inversion in c2) is a direct isometry, i. e., a fractional linear transformation. write this flt in the form (az+b)/(cz+d); determine whether it is a rotation, a parabolic translation, or a hyperbolic translation; and find its fixed points (in the half-plane, or at infinity).