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If f(x^(2) - 4x + 4) = x^(2) + 1. Find f...

If `f(x^(2) - 4x + 4) = x^(2) + 1`. Find f(1) if `f(1) lt 8`.

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To solve the problem step by step, we need to find the value of \( f(1) \) given that \( f(x^2 - 4x + 4) = x^2 + 1 \) and \( f(1) < 8 \). ### Step 1: Set up the equation We start with the equation: \[ f(x^2 - 4x + 4) = x^2 + 1 \] We need to find \( f(1) \). To do this, we need to find \( x \) such that: ...
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