Let f(x) = = x³ - 2x + 1, to solve the root finding problem f(x) = 0, derive each of the following 1 fixed-point functions and determine which, if any, will converge. Explain. Assume po = function. 1 (a) g(x) = (x³ + 1) (b) g(x) (c) g(x) = = 2 x 1 x² 2- x (d) g(x) = − 1 - 2x for each

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