已知偶函数f(X)在区间【0,+∝)单调增加,则满足f(2x-1)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 17:18:15
已知偶函数f(X)在区间【0,+∝)单调增加,则满足f(2x-1)已知偶函数f(X)在区间【0,+∝)单调增加,则满足f(2x-1)已知偶函数f(X)在区间【0,+∝)单调增加,则满足f(2x-1)c

已知偶函数f(X)在区间【0,+∝)单调增加,则满足f(2x-1)
已知偶函数f(X)在区间【0,+∝)单调增加,则满足f(2x-1)

已知偶函数f(X)在区间【0,+∝)单调增加,则满足f(2x-1)
case 1:
for
2x-1 >=0
=> x >=1/2
f(2x-1)< f(1/3)
=> 2x-1 < 1/3
x < 2/3
solution for case 1
x >=1/2 and x x > 1/3
solution for case 2
x 1/3
ie 1/3< x < 1/2
solution for f(2x-1)

2x-1≥0
x≥1/2
2x-1<1/3
x<2/3
1/2≤x<2/3