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K. 203. Given that  for all x 0, find the value f(2) of the function.
(6 points)
Deadline expired.
Sorry, the solution is published in Hungarian only.
Megoldás. Felírhatjuk x=2 esetén, hogy f(1/2)-3f(2)=2, amiből
x=1/2 esetén f(2)-3f(1/2)=1/2. Az (1)-ben f(1/2)-re kapott eredményt ez utóbbiba helyettesítve f(2)-3(2+3f(2))=1/2, innen f(2)=-13/16.
| Statistics on problem K. 203. | | 109 students sent a solution. | |
| 6 points: | 71 students. |
| 5 points: | 6 students. |
| 4 points: | 4 students. |
| 3 points: | 1 student. |
| 1 point: | 1 student. |
| 0 point: | 17 students. |
| Unfair, not evaluated: | 9 solutions. |
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Problems in Mathematics of KöMaL, February 2009
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