Ononot — A function f is defined by the rule that it maps every input

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A function $f$ is defined by the rule that it maps every input to its square minus twice the input. If $f(g(x)) = 4x^2 - 4x + 1$ and $g(x) = 2x - 1$ , verify the consistency of the rule for $f(x)$ . What is $f(x)$ ?