P(x) is a polynomial such that P(x)=x has no real solution. Prove that P(P(x))=x has no real solution.
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Assume that P(P(x)) = x has a real solution for x. Is it necessary that P(x) = x?
it is given that P(x)=x has no real solution. You have to prove that P(P(x))=x has no real solution from it
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