Iterated Function f(f(x))f(f(x))

Algebra Level 4

f:RR f: \mathbb{R} \rightarrow \mathbb{R} is a function such that
f(f(x))=x2x+1. f\big(f(x)\big) = x^2 - x + 1. What is the value of f(0)f(0) to 2 decimal places?

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