增函數(shù)y=f(x)定義在(-1,1)上,且是奇函數(shù),若f(1-m)+f(1-m^2)>0,求實(shí)數(shù)m的取值范圍
增函數(shù)y=f(x)定義在(-1,1)上,且是奇函數(shù),若f(1-m)+f(1-m^2)>0,求實(shí)數(shù)m的取值范圍
優(yōu)質(zhì)解答
f(1-m)+f(1-m^2)>0
f(1-m)>-f(1-m^2)
f(x)是奇函數(shù)所以
f(1-m)>f(m^2-1)
y=f(x)定義在(-1,1)上所以
-1<1-m<1
-1函數(shù)為增函數(shù)所以
1-m>m^2-1
解得0