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If af(x) + bf(1/x) = x+1, x != 0, find f...

If af(x) + bf(1/x) = x+1, `x != 0`, find f(x).

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To solve the equation \( af(x) + bf\left(\frac{1}{x}\right) = x + 1 \) for \( f(x) \), we will follow these steps: ### Step 1: Write the original equation We start with the equation given in the problem: \[ af(x) + bf\left(\frac{1}{x}\right) = x + 1 \tag{1} \] ...
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