Question: f(x) = x ^7 + 8x 8. A: find f(x) has only one root in (0, 1). B: Starting with x0 = 0.5 , use

f(x) = x ^7 + 8x 8. A: find f(x) has only one root in (0, 1). B: Starting with x0 = 0.5 , use fixed-point iteration, by constructing a function g(x), to find x8 to 6 decimal places. (show why your chosen g(x) will work)

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