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TR-MO-R1 2017 Problem 26

    f(x)=x3−12x2+Ax+Bf(x)=x^3-12x^2+Ax+B, gerçel sayılarda tanımlı artan bir fonksiyon olsun. (f∘f∘f)(3)=3(f\circ f\circ f)(3)=3 ve (f∘f∘f∘f)(4)=4(f\circ f\circ f\circ f)(4)=4 ise f(7)=?f(7)=?

    A) 7 B) 12 C) 31 D) 38 E) 42

    Official text Turkish Mathematical Olympiad, first round 2017 official paper, page 15. Quoted with source.

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