The function f' is defined by 1 f:xH 1-x² Give a reason why f does not have an inverse. If the domain of f is restricted to k≤x<1, state the least value of k such that f has an inverse. Hence find f¹ in similar form. (iii) Describe the geometrical transformation that maps the graph of y = f (x) to the graph of y=f(x) for which k≤x<1. (iv) Show that f 'f(x)=x. Hence find h(x), given that hf'(x)=lnx. (i) (ii) x = R,x #1,-1 ‚

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