则有：当m≠0时,Δ=(4m)^2-4m*3=16m^2-12m<0,解得：0
故：0≤m<3/4
若函数f(x)=(x-4)/(mx方+4mx+3)的定义域为R,则实数m的取值范围是________.
若函数f(x)=(x-4)/(mx方+4mx+3)的定义域为R,则实数m的取值范围是________.
其他人气：745 ℃时间：2019-09-26 01:21:12
优质解答
定义域要求分母不为零,即：mx^2+4mx+3≠0.由题意,上述式子对任意x恒成立.
则有：当m≠0时,Δ=(4m)^2-4m*3=16m^2-12m<0,解得：0
故：0≤m<3/4
则有：当m≠0时,Δ=(4m)^2-4m*3=16m^2-12m<0,解得：0
故：0≤m<3/4
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