作业帮一道关于函数的练习题,】
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一道关于函数的练习题,】
已知函数f(x)是定义域在【-3,3】上的增函数,求满足：f(1-m)>f(1+3m)的实数m的取值范围.
已知函数f(x)是定义域在【-3,3】上的增函数,求满足：f(1-m)>f(1+3m)的实数m的取值范围.
f(1-m)>f(1+3m)
1-m ＞1+3m ·········································1
而f(x)是定义域在【-3,3】上的增函数
所以1-m∈【-3,3】·································2
1+3m∈【-3,3】····································3
解123得-4/3≤m＜0
1-m ＞1+3m ·········································1
而f(x)是定义域在【-3,3】上的增函数
所以1-m∈【-3,3】·································2
1+3m∈【-3,3】····································3
解123得-4/3≤m＜0