已知奇函数f(x)是定义在(-3,3)上的减函数,且满足不等式f(x-3)+f(x2-3)

已知奇函数f(x)是定义在(-3,3)上的减函数,且满足不等式f(x-3)+f(x2-3)
已知奇函数f(x)是定义在(-3,3)上的减函数,且满足不等式f(x-3)+f(x2-3)

已知奇函数f(x)是定义在(-3,3)上的减函数,且满足不等式f(x-3)+f(x2-3)
既然是(－3,3)上的函数,那么x－3及x2－3不在定义域内,f(x－3)+f(x2－3)无意义,题目肯定是不对的,楼主应该确定题目正确

根据题意，可得-3＜x-3＜3-3＜x2-3＜3​，
解可得0＜x＜6-
6＜x＜
6​且x≠0，
故0＜x＜6，
又∵f（x）是奇函数，
∴f（x-3）＜-f（x2-3）=f（3-x2），
又f（x）在（-3，3）上是减函数，
∴x-3＞3-x2，即x2+x-6＞0，
解得x＞2或x＜-3，综上得2＜...

全部展开

根据题意，可得-3＜x-3＜3-3＜x2-3＜3​，
解可得0＜x＜6-
6＜x＜
6​且x≠0，
故0＜x＜6，
又∵f（x）是奇函数，
∴f（x-3）＜-f（x2-3）=f（3-x2），
又f（x）在（-3，3）上是减函数，
∴x-3＞3-x2，即x2+x-6＞0，
解得x＞2或x＜-3，综上得2＜x＜6，即A={x|2＜x＜6}，
∴B=A∪{x|1≤x≤5}={x|1≤x＜6}，
又g（x）=-3x2+3x-4=-3（x-12）2-知：g（x）在B上为减函数，
∴g（x）max=g（1）=-4．

收起

=9

Street shot shows the trend of wearing off-take
Each fall, the International Fashion Week held in total make the city become a trend-type people gathered to. The total gathered from various quar...

全部展开

Street shot shows the trend of wearing off-take
Each fall, the International Fashion Week held in total make the city become a trend-type people gathered to. The total gathered from various quarters trendsetters. Here,Air Jordan XX, take your Watch London Fashion Week this month show the trend of off-look! Present the hottest style, leather costume + pencil dress pants are scripted,Jordan 8 Retro, but also present the hottest style,jordan 10 shoes, leather costume + pencil pants. Topics related articles：


Jordan VII Retro Autumn and winter trends Puff Sleeve with _

Air Jordan 15 Decorate the warm autumn and winter

Jordan 7 Retro IN 08 big trends to watch _16

Swarovski Winter temptation _36 08

Nike Air Jordan 1 Heavy metals precious stone jewe

Jordan IV IN workplace after the leave, most dress

Jordan VI Mix and match up people with the Nordic

Air Jordan IV Long travel section T shirt fashion

Jordan 11 Jeans must comply with the eight laws of

Air Jordan XI Retro Comments Who installed the mos

Tube Top Small dress charm _38 T-Taiwan

Nike jordans Create the perfect dream wedding _134

Jordan VIII 11 travel light most eye-catching inst

Jordan XIII 12 early autumn shirt _103 aesthetic t

Buy Jordans A sweet handsome _74 sa Autumn Mashup

收起