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Value of f(3) from symmetry conditions

High school · ●●○○○ 20 pts

Let f(x)f(x) be a function with domain R\mathbb{R} such that f(x+1)=f(−x−1)f(x+1) = f(-x-1) and f(2−x)=−f(x)f(2-x) = -f(x) for all real xx. Find the value of f(3)f(3).

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