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If the function f : R → R be given by f[x] = x2 + 2 and g : R → R be given by `g(x)=x/(x−1)` , x≠1, find fog and gof and hence find fog (2) and gof (−3).
Let f : N→N be a function defined as f(x)=9x2+6x−5. Show that f : N→S, where S is the range of f, is invertible. Find the inverse of f and hence find f−1(43) and f−1(163).