3x+2 The function f is defined by f(x) = for xe R, xp, xq. 4x²-1 (a) Find the value of p and the value of q. (b) Find an expression for f'(x). The graph of y = f(x) has exactly one point of inflexion. (c) Find the x-coordinate of the point of inflexion. (d) Sketch the graph of y = f(x) for -3≤x≤3, showing the values of any axes intercepts, the coordinates of any local maxima and local minima, and giving the equations of any asymptotes. 4x²-1 2 The function g is defined by g(x): 9 for xeR, x 3x+2 3 (e) Find the equations of all the asymptotes on the graph of y = g(x). (f) By considering the graph of y = g(x) - f (x), or otherwise, solve f(x)

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