y=(3x²-12)/(x-2)=3(x²-4)/(x-2)=3(x+2)(x-2)/(x-2)=3(x+2)当x=-2时 y=0
y=0则分子3x²-12=0且分母x-2≠0,则x=-2
答:原题简化为y=3(x-2)(x+2)/(x-2)=3(x+2),所以当x=-2时,函数y为零