perplexus.info :: Just Math : Functional Question

Functional Question (Posted on 2017-01-10)

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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| Comment 1 of 2

f(2017) = 3*f(-2016) + 1 and f(-2016) = 3*f(2017) + 1, so f(2017) = 9*f(2017) + 4 and f(2017) = -1/2.

Posted by xdog on 2017-01-10 18:00:34

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