perplexus.info :: Calculus : Intermediate between two functions

Intermediate between two functions (Posted on 2023-08-31)

Polynomials F and G satisfy:

F(F(x))>G(F(x))>G(G(x))

for all real x. Prove that F(x)>G(x) for all real x.

No Solution Yet Submitted by Danish Ahmed Khan

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