Quadratic Inequality

Algebra Level 5

If \(f(x)\) be a quadratic equation with real coefficients satisfying \(x^2-2x+2\leq f(x)\leq 2x^2-4x+3\;\forall x\in \mathbb{R}\) and \(f(11) = 181. \)

Then, what is the value of \(f(16)\)?

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