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

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info