SOLUTION: Hi, I am actually one of the tutors on this site (richard1234) and I have an algebra/analysis problem: Prove that there exists a rational function f satisfying f(x^2) = f(x)^2

Question 471421: Hi, I am actually one of the tutors on this site (richard1234) and I have an algebra/analysis problem:

Prove that there exists a rational function f satisfying f(x^2) = f(x)^2 - a

if and only if a = 0 or a = 2.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Just an opinion:
if it is , the problem becomes rather routine;
but if it is , then we're in for a long haul...
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