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Algorithm to check function is invertibl...

Algorithm to check function is invertible

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Prove that the function f: [0,oo)rarr R , given by f(x) =9x^(2) +6x -5 is not invertible. Modify the codomain of the functions to make it invertible, and hence find f^(-1)

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Statement-1 : Let f : [1, oo) rarr [1, oo) be a function such that f(x) = x^(x) then the function is an invertible function. Statement-2 : The bijective functions are always invertible .