5. Find and prove by induction a formula for 7]. 2(22? 1). [8] i=1 6. Let f($) = Hie: for :1: E R and let 9 be the inverse function of f. (a) Sketch the graphs of f and g on the same axes, showing clearly the asymptotes. State the domain of g. [3] (b) Show that f'(a:) = f(:1:)(f(a:) w 1); use this (or any other method) to find 9'. [7] / [71 (c) Find the indefinite integral