16 Aug 2013

Nordic MC 1993 Q1: Upper Secondary Mathematics Competition Question


Let F be an increasing real function defined for all x, 0 ≤ x ≤ 1, satisfying the conditions

(i) F(x/3) = F(x)/2,

(ii) F(1 − x) = 1 − F(x).

Determine F(173/1993) and F(1/13).


[Nordic MC 1993 Q 1][slightly edited]



Feel free to comment, ask questions and even check your answer in the comments box below powered by Disqus Google+.

If you enjoy using this website then please consider making a donation - every little helps :-)

You can receive these questions directly to your email box or read them in an RSS reader. Subscribe using the links on the right.

Don’t forget to follow Gifted Mathematics on Google+Facebook or Twitter. You may add your own interesting questions on our Google+ Community and Facebook..

You can also subscribe to our Bookmarks on StumbleUpon and Pinterest. Many resources never make it onto the pages of Gifted Mathematics but are stored in these bookmarking websites to share with you.

No comments:

Post a Comment

Related Posts Plugin for WordPress, Blogger...