急 ! F4 數 Function 4

2011-12-06 8:58 pm
請詳細步驟教我計下條 :
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回答 (1)

2011-12-06 9:08 pm
✔ 最佳答案
a.
f(1+x) = f(1) x f(x)
put x = 0
f(1+0) = f(1) x f(0)
f(1) = f(1) x f(0)
f(0) = 1

b.
f(1+x) = f(1) x f(x)
put x = -1
f(1-1) = f(1) x f(-1)
f(0) = f(1) x f(-1)
from a. we have f(0) = 1
thus, 1/f(1) = f(-1)


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