Let F= {f|f: R → R}, and define a relation R on Fas follows: R = {(f,g) e F xF | 3h e F(f = h o g)}. Let f, g, and h be the functions from R to R defined by the formulas f(x)=x? + 1, g(x) =x³ + 1, and h(x) =x4 + 1. Prove that hRf, but it is not the case that gRf.

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