Question: Consider solving the equation f(z) = -5 =0 for the root T = V5 1. Use algebraic manipulation to show that each of the

Consider solving the equation f(z) = -5 =0 for the root T

Consider solving the equation f(z) = -5 =0 for the root T = V5 1. Use algebraic manipulation to show that each of the following functions has a fixed point at 7 precisely when f(7) = 0. (a) gi(x) = 5+r- (b) g2(r) = (c) ga(r) = 1+x - (d) g4(x) = (r +2) 2. Rank the four fixed-point methods in order, based on their apparent speed of convergence, assuming that ao is chosen sufficiently close to T.

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