已知函数f(x)=2lg(x+1)和g(x)=lg(2x+t)(t为常数). (1)求函数f(x)的定义域; (2)若x∈[0,1]时,g(x)有意义,求实数t的取值范围. (3)若x∈[0,1]时,f(x)≤g(x)恒成立
已知函数f(x)=2lg(x+1)和g(x)=lg(2x+t)(t为常数).
(1)求函数f(x)的定义域;
(2)若x∈[0,1]时,g(x)有意义,求实数t的取值范围.
(3)若x∈[0,1]时,f(x)≤g(x)恒成立,求实数t的取值范围.
(1)求函数f(x)的定义域;
(2)若x∈[0,1]时,g(x)有意义,求实数t的取值范围.
(3)若x∈[0,1]时,f(x)≤g(x)恒成立,求实数t的取值范围.
数学人气:287 ℃时间:2019-10-23 09:55:35
优质解答
(1)x+1>0即x>-1∴函数f(x)的定义域为(-1,+∞)(2)∵x∈[0,1]时,g(x)有意义∴2x+t>0在[0,1]上恒成立,即t>0∴实数t的取值范围是(0,+∞)(3)∵x∈[0,1]时,f(x)≤g(x)恒成立∴2lg(x+1)≤l...
我来回答
类似推荐
猜你喜欢
- 1I really hope that my dream will come true in someday,to go up into the space.
- 2长江三峡位于最西南的一个峡谷是什么
- 3关于月亮和星星的比喻有那些?有急用)
- 4after i want to beijing,i have learned______.A.a lot of B.lots of C.lot of D.a lot
- 5我们家乡的农产品(作文) (在农村)
- 6如果xy/(x+2)=2,求代数式(3x-5xy+3y)/(-x+3xy-y)的值
- 7shall we go to the nearest shopping mall this afternoon?(用Let us改写句子)
- 8保护环境的重要性
- 9主语+谓语(及物动词)+宾语(+状语) 造句
- 10we'll visit the great wall if it()tomorrow.A.won't rainB.isn't rainC.isn't going to rain