函数y=(3m-2)x2(x2的意思是x的平分)+(1-2m)x(m为常数)是正比例函数,求y与x之间的函数关系

问题描述:

函数y=(3m-2)x2(x2的意思是x的平分)+(1-2m)x(m为常数)是正比例函数,求y与x之间的函数关系

原式=1/(x+1)*[(x-3)/(x+3)²+2(x+3)/(x+3)²]-x/(x+3)(x-3)
=1/(x+1)*[(x-3+2x+6)/(x+3)²]-x/(x+3)(x-3)
=1/(x+1)*[3(x+1)/(x+3)²]-x/(x+3)(x-3)
=3/(x+3)²-x/(x+3)(x-3)
=(3x-9-x²-3x)/(x+3)²(x-3)
=-(x²+9))/(x+3)²(x-3)

是正比例函数则没有x²项
所以系数为0
3m-2=0
m=2/3
1-2m=-1/3
所以y=-x/3