1. Given f(x) is a function of x where f(1+x) = f(1) + f(x), show that:
(a) f(0) = 0
(b) f(-1) = -f(1)
F.4 maths (10分)
2009-09-22 10:32 am
回答 (1)
2009-09-22 12:50 pm
✔ 最佳答案
a) f(1+x) = f(1) + f(x), when x = 0 :
f(1+0) = f(1) + f(0)
f(1) = f(1) + f(0)
f(0) = 0
b) when x = - 1 :
f[1+ (-1)] = f(1) + f(-1)
f(0) = f(1) + f(-1)
0 = f(1) + f(-1)
f(-1) = -f(1)
收錄日期: 2021-04-21 22:03:02
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090922000051KK00132