1. Sketch the graph of the function f(x) = 2 -3*. Find its domain and range as well. 2. For each of the following functions, find the formula of its inverse function (if exists). If the inverse function does not exist, explain briefly. (a) f(x) = 9x-3 9x+7 (b) f (x) = (x-5)3 (c) f (x) = 3x5 - 18 (d) f (x) = (2x -5)2 3. For each of the given functions, f, find its natural domain, that is, the largest subset of R on which the expression that defines fmay be validly evaluated. Show your steps. Please express your answer in the form of a single interval, or a union of disjoint intervals. For example: (-00, 2) U[4, 22). (a) f (x) = =v4 - x2 (b) f(x) = In(3x2 - 4x + 5) (c) f (x) = In(vx - 4+v6-x) (d) f (x) = V10-3x x--25 4. Let X = (1,2,3,5,8,13], Y = (2,12] and Z = [4,7) U(9). Find XUY, XnY, YUZ, YnZ, XUYUZ, Y\\X and 7\\(XUY) respectively