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Functional Question (Posted on 2017-01-10) Difficulty: 2 of 5
If f(x) = 3f(1-x) + 1 for all x, what is the value of f(2017)?
From New Jersey Math League High School Contest Number 2 (November, 2016).

See The Solution Submitted by Charlie    
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Solution Generalizing Comment 2 of 2 |
Expanding xdog's solution

f(1-x) = 3f(x) + 1

f(x) = 3(3f(x) + 1) + 1

solving, f(x) = -1/2

  Posted by Steve Herman on 2017-01-11 10:01:51
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