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      Dec 21, 2021
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      Python Programming
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    • Tang Derek
      Feb 13
      One of Euclid question from previous contest
      Euclid Math Contest
      Suppose that the function g satisfies g(x) = 2x − 4 for all real numbers x and that g −1 is the inverse function of g. Suppose that the function f satisfies g(f(g −1 (x))) = 2x 2 + 16x + 26 for all real numbers x. What is the value of f(π)? I got to this step: f ((x + 4)/2)  = (x + 4)^2 − 1 In answer key it says Thus, we can replace (x + 4)/2 with π, which is equivalent to replacing x + 4 with 2π why can we replace x+4 with 2π?
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    • Olympiad Education
      Apr 03, 2021
      iscuss exmaple 2 of the last class
      Euclid Math Contest
      Let 's discuss exmaple 2 of the last class? How did the teach get the ball rolling?
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