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SEAMO 2027 - Paper F - SET 10 - Self-study Question 21

SEAMO · SEAMO 2027 - Paper F - SET 10 - Self-study

Question 21

Let $f(x)=(x+1)^2$. Find the sum of all values of x satisfying $fff(x)=x$.

Domain clarification: fff means the threefold composition f(f(f(x))). For this self-study question, take all complex roots of the resulting polynomial equation, counted with multiplicity. The source does not specify the domain.
  1. $-8$
  2. 8
  3. $-1$
  4. 1
  5. None of the above