已知定义域[-3,3]的偶函数f(x)在[0,3]上为增函数,且f(1/3)=0,解不等式f(1/(x-1))>0奇偶性和单调性结合问题(高一数学)
热心网友
偶函数f(x)在[0,3]上为增函数,且f(1/3)=0,又f(1/(x-1))0所以31/(x-1)1/3或-31/(x-1)-1/3解得:2/3x-2或4/3x4
热心网友
f(1/(x-1))f(1/3)=f(-1/3)==1. 递增3=1/(x-1)1/3 ==4/3-2
已知定义域[-3,3]的偶函数f(x)在[0,3]上为增函数,且f(1/3)=0,解不等式f(1/(x-1))>0奇偶性和单调性结合问题(高一数学)
偶函数f(x)在[0,3]上为增函数,且f(1/3)=0,又f(1/(x-1))0所以31/(x-1)1/3或-31/(x-1)-1/3解得:2/3x-2或4/3x4
f(1/(x-1))f(1/3)=f(-1/3)==1. 递增3=1/(x-1)1/3 ==4/3-2