30. 已知二次函数f(x)=mx2−2x+n(m,n∈R)f(x)=mx^{2}-2x+n(m,n\in R)f(x)=mx2−2x+n(m,n∈R),若函数f(x)f(x)f(x)的值域是[0[0[0,+∞)+\infty )+∞),且fff(1)⩽2\leqslant 2⩽2,则m2n2+1+n2m2+1\frac{{m}^{2}}{{n}^{2}+1}+\frac{{n}^{2}}{{m}^{2}+1}n2+1m2+m2+1n2的取值范围是((( )))