[中學] 函數相關
Suppose that a,b and c are non-zero real numbers.
Define h(x)=(ax+b)/(bx+c) for x≠-c/b.
Determine all triples (a,b,c) for which h(h(x))=x
for every real number x with x≠-c/b and h(x)≠-c/b
這題是學生問的問題,不過沒有解答,本身思路是以反函數的考量下去解的
但自己算的不算很有把握,所以上來求教
是否有大大能夠提供比較有把握的解答可供參考,謝謝!
--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 114.44.248.165
※ 文章網址: https://www.ptt.cc/bbs/Math/M.1449842206.A.ED4.html
→
12/11 22:45, , 1F
12/11 22:45, 1F
→
12/12 00:36, , 2F
12/12 00:36, 2F
→
12/12 00:40, , 3F
12/12 00:40, 3F
→
12/12 00:43, , 4F
12/12 00:43, 4F
→
12/12 09:12, , 5F
12/12 09:12, 5F
→
12/12 09:34, , 6F
12/12 09:34, 6F
討論串 (同標題文章)