Let f and g be the transformations f(x; y) = (x-5; y 2) and g(x; y) = (x 2; y-3). Find the product fg, the product gf, and the inverse transformations of f and g..
a) fg: (x-3, y-1); gf: (x+3, y+1); f-1(x, y) = (x+5, y-2); g-1(x, y) = (x+2, y+3)
b) fg: (x-3, y+1); gf: (x+3, y-1); f-1(x, y) = (x+5, y+2); g-1(x, y) = (x-2, y+3)
c) fg: (x+3, y-1); gf: (x-3, y+1); f-1(x, y) = (x-5, y-2); g-1(x, y) = (x-2, y-3)
d) fg: (x+3, y+1); gf: (x-3, y-1); f-1(x, y) = (x-5, y+2); g-1(x, y) = (x+2, y-3)