问题 选择题 函数f(x)=x2-1(x<-1)的反函数是( )A.f-1(x)=-x+1(x≥-1)B.f-1(x)=x+1(x≥-1)C.f-1(x)=x+1(x>0)D.f-1(x)=-x+1(x>0) 答案 ∵y=x2-1(x<-1),∴x=-y+1,y>0,故反函数为 y=-x+1(x>0),故选D.