定義域:(x+1)/(x-1)大于0
x-1大于0
p-x大于0
解得 1小于x小于p
定義域為(1,p)
如果P小于或者是等于1 ,因為x不能取任何值,那該函數(shù)就不存在了,所以p必須得大于1
f(x)=log(x+1)/(x-1)+log(x-1)+log(p-x)
=log[(x+1)/(x-1)]*(x-1)*(p-x)
=log(x+1)/(p-x)
函數(shù)y=(x+1)/(p-x)為增函數(shù),f(x)函數(shù)底數(shù)為2 ,所以f(x)也為單調(diào)增函數(shù);
又,x=1時,y=2/(p-1)
x=p時,y趨于正無窮
所以,值域為(2/(p-1),正無窮)
已知函數(shù)f(x)=log底數(shù)為2,真數(shù)為分子是(X+1)分母是(X-1)再加上log底數(shù)為2,真數(shù)為(X-1)再加log底數(shù)為2
已知函數(shù)f(x)=log底數(shù)為2,真數(shù)為分子是(X+1)分母是(X-1)再加上log底數(shù)為2,真數(shù)為(X-1)再加log底數(shù)為2
真數(shù)為(p-x),求此函數(shù)的定義域及值域
真數(shù)為(p-x),求此函數(shù)的定義域及值域
數(shù)學人氣:375 ℃時間:2019-10-11 20:26:59
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