Discus, with details whether the domains of:
x(x^x)
AND
(xx)x
are same as that of xx.
For the domain of xx, please refer to:
http://hk.knowledge.yahoo.com/question/question?qid=7008020100702
Domain of x^x^x
2009-03-18 5:55 pm
回答 (2)
2009-04-01 8:17 am
✔ 最佳答案
其實function的domain有時會出現dominant的情況。就以sin x sin^(- 1) x為例，由於sin x的domain是(- ∞ , + ∞)而sin^(- 1) x的domain是[- 1 , 1]，那麼sin^(- 1) x在sin x sin^(- 1) x裡面，sin^(- 1) x的domain就會出現dominant的情況。
因此sin x sin^(- 1) x的domain是[- 1 , 1]。
2009-04-01 00:17:29 補充：
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain1.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain2.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain3.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain4.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain5.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain6.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain7.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain8.jpg
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/crazydomain/crazydomain9.jpg
參考資料：
自己的見解
2009-03-26 12:56 am
I only know x(x^x)=x^2x(I think)
x(xx)=x(x^2)=x^3
xx=x^2
x(xx)=x(x^2)=x^3
xx=x^2
收錄日期: 2021-04-25 17:27:49
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090318000051KK00307