Determine the image of H.
(b) Consider the function g: P ({0,2,3}) → {0,2,3} defined by g(X) = |X|.
Prove that g is surjective.
(c) Let F: R² → R³ and G: R³ → R² be given by
F(x, y) = (x, y,2y).
G(x, y, z) = (x, y+z/3).
(i) Determine the compositions F. G and G. F.
(ii) Is G the inverse of F? Justify your answer.
(iii) Show that G is not injective.