Question: The function F(x) = x5 +2x + x is an increasing function (since F'(x) = 5x +6x +1 > 0 ) and therefore has

The function F(x) = x5 +2x + x is an increasing function (since F'(x) = 5x +6x +1 > 0 ) and therefore has an inverse, which we denote as F-(x). (a) Use Matab to plot F(x) and F-1(x) on the same set of axes, with 1 x 1. (b) Write a Matlab function, whose prototype is y = inverseF(x). Here the input x is assumed such that 1 x 1, and the output y is the value of F-(x), correct to at least 7 significant digits. Discuss which numerical methods you used and how you guarantee the accuracy of your results.

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