已知集合M是满足下列性质的函数fx的全体:存在常数T>0,对任意x属于R,有f(x+T)=Tf(x)成立.(1)设函数fx,x属于R,满足f(x+2)=2fx,且当x属于(0,2】时,fx=2x,求当x属于(-2,0】时,fx的表达式.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 15:35:04
![已知集合M是满足下列性质的函数fx的全体:存在常数T>0,对任意x属于R,有f(x+T)=Tf(x)成立.(1)设函数fx,x属于R,满足f(x+2)=2fx,且当x属于(0,2】时,fx=2x,求当x属于(-2,0】时,fx的表达式.](/uploads/image/z/11517490-10-0.jpg?t=%E5%B7%B2%E7%9F%A5%E9%9B%86%E5%90%88M%E6%98%AF%E6%BB%A1%E8%B6%B3%E4%B8%8B%E5%88%97%E6%80%A7%E8%B4%A8%E7%9A%84%E5%87%BD%E6%95%B0fx%E7%9A%84%E5%85%A8%E4%BD%93%EF%BC%9A%E5%AD%98%E5%9C%A8%E5%B8%B8%E6%95%B0T%3E0%2C%E5%AF%B9%E4%BB%BB%E6%84%8Fx%E5%B1%9E%E4%BA%8ER%2C%E6%9C%89f%EF%BC%88x%2BT%EF%BC%89%3DTf%EF%BC%88x%EF%BC%89%E6%88%90%E7%AB%8B.%EF%BC%881%EF%BC%89%E8%AE%BE%E5%87%BD%E6%95%B0fx%2Cx%E5%B1%9E%E4%BA%8ER%2C%E6%BB%A1%E8%B6%B3f%EF%BC%88x%2B2%EF%BC%89%3D2fx%2C%E4%B8%94%E5%BD%93x%E5%B1%9E%E4%BA%8E%EF%BC%880%2C2%E3%80%91%E6%97%B6%2Cfx%3D2x%2C%E6%B1%82%E5%BD%93x%E5%B1%9E%E4%BA%8E%EF%BC%88-2%2C0%E3%80%91%E6%97%B6%2Cfx%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F.)
xQ?O@*OKauС!t$0h @T( b@EcWڢN߽S2*x[<.[gJvyϧ1RHgĻhYW&ujdk̲ IIc:|Egk:)!.jMkSiYCIu\CBw!|1Pj]2p J"m+$Sf̮ĕ.ooRkEaBzyOB/ep Β1A4y$