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UKMT Senior Mathematical Challenge, 2024

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A function $f$ satisfies the equation $f(x) + f\left(\frac{1}{1-x}\right) = 24x$ for all real values of $x$ except $x=0$ and $x=1$ . What is the value of $f(3)$ ?

(A) $40$ (B) $42$ (C) $45$ (D) $48$ (E) $50$

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