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SMO 2024 Open Round 1 Question 20

SMO · SMO 2024 Open Round 1

Question 20

Let $f$ be a function such that $f(x)+f\left(\dfrac1{1-x}\right)=1+\dfrac1x$ for all $x\notin\{0,1\}$. Find the value of $\lfloor180\cdot f(10)\rfloor$.