Define functions f1, f2, fa E F by fi(x) = 1 f2(x) = sin(x) fi(z) = sin?(z) Let U = Span(f1, f2, f3). The functions f1, f2, fa are linearly independent and hence C = {f1, f2, fa} is a basis for V. Now suppose that V is the linear transformation such that 3 -10 1 -6 3 11 for the basis B = {x - x, x + 2, 5 } of P2 and the basis C = {f1, f2, f3} of V. (a) (4 marks) Show that y is invertible and find [ ],. . (Show your work.) (b) (3 marks) Show that the function g E F defined by g(x) = 2 sin(x) - 3 cos(2x) is in U and then find 4 (9). (Show your work.)