We want to find the unique real root of f(x) = x³ + 6x² - 40 on the interval [2,3] using the fixed point iteration. Determine whether the fixed point iteration converges for any co € [2, 3], for the given iteration function g(x). (a) g(x) = x³ + 6x² + x − - 40 (40—7~²³) ³ 6 (b) g(x) = ( (c) g(x) =x- x³+6x²-40 3x²+12x

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