PUMaC 2024 · 代数（B 组） · 第 4 题

PUMaC 2024 — Algebra (Division B) — Problem 4

Let f and g be two polynomials such that f ( g ( x )) = g ( f ( x )). If g ( x ) is linear but not identically 3 2 equal to x , and f ( x ) = x + 60 x + 1000 x + c for some c , find the value of c . Note: This problem was scrapped from the contest. It should state: “... If g ( x ) is linear, non-constant , and not identically equal to x , ...”

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