【急】定义域为R的函数f(x)=[-3^x+a ] /[ 3^(x+1)+b ] 是奇函数,1求a、b的值.2若对任意t∈R,不等式
不等式f(t^2-3t)+f(3t^2-k)
人气:260 ℃ 时间:2019-12-14 14:07:32
解答
0=f(0)=(a-1)/(3+b),a=1f(1)=(a-3)/(9+b),f(-1)=(a-1/3)/(b+1),-f(1)=f(-1),b=3,f=(1-3^x)/(3*3^x+3)=1/3[-1+2/(3^x+1)],当x>0时,3^x+1>0且是增函数,f是减函数,因f是奇函数,f在定义域内是减函数,不等式f(t^2-3t)+f...
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