已知函數(shù)f(x)=(log2(X))^2-2log2x+3的定義域為【1,4】,求f(x)的最值
t=log2(x),1≤x≤4,0≤t≤2
f(x)=t^2-2t+3=(t-1)^2+2
t=0 or t=2
x=1 0r x=4,f max=3
t=1,
x=2,f min=2
已知函數(shù)f(x)=log2²X-2log2x+3的定義域為【1,4】,求f(x)的最值
已知函數(shù)f(x)=log2²X-2log2x+3的定義域為【1,4】,求f(x)的最值
數(shù)學人氣:856 ℃時間:2020-10-02 02:02:44
優(yōu)質(zhì)解答
我來回答
類似推薦
- 已知函數(shù)f(x)=log2(x+1)/(x-1)+log2(x-1)+log2(3-x),求函數(shù)f(x)定義域;和值域
- 選修4-5:不等式選講 已知函數(shù) f(x)=log2(|x-1|+|x-5|-a) (1)當a=5時,求函數(shù)f(x)的定義域; (2)當函數(shù)f(x)的值域為R時,求實數(shù)a的取值范圍.
- 已知函數(shù)f(x)=log2(x+1),g(x)=log2(1-x)(1)求函數(shù)f(x)+g(x)的定義域
- 已知函數(shù)f(x)=log2(2^x-1),求f(x)的定義域
- 若函數(shù)f(2^x)的定義域是[-1,1],求函數(shù)f(log2 x)的定義域
- 已知實數(shù)x,y滿足2x+3y≤14,2x+y≤9,x≥0,y≥0,S=3x+ay,若S取得最大值時的最優(yōu)解有無窮多個,則實數(shù)a=?
- 請問這種成分還屬301不銹鋼嗎?(C-0.1003;Si-0.2467;Mn-2.2387;p-0.358;S-0.169;Cr-14.6342;Ni-6.0215)
- X=2*3*5*7*11*13*17*19*23*29*.N(N為質(zhì)數(shù)),求證:X+1為質(zhì)數(shù)
- 若√2007n是個非零整數(shù),則最小整數(shù)n是?
- Either I or he ( )soccer with Tom 四個選項 play are plays is
- .the music festival was great!Many famous people (attended) it.
- 如果(M)表示m的全部因數(shù)的和,如(4)=1+2+4=7,則(18)-(21)=()