已知函数f(x)=e^x 已知2(1-x)

化简(x-1/x-3 - x-4/x)/(x^2-2x)/(x^2+3x)

原式={[x(x-1)-(x-3)(x-4)]/[x(x-3)]}×[(x²+3x)/(x²-2x)]
=[(x²-x-x²+7x-12)/[x(x-3)]}×[x(x+3)/x(x-2)]
=[(6x-12)/[x(x-3)]}×[(x+3)/(x-2)]
=6(x-2)(x+3)/[x(x-3)(x-2)]
=(6x+18)/(x²-3x)

已知0<x<2化简|x+2/1|+|x+2|的值

化简|x+1/2|+|x+2| (原题是1/2还是2/1?)
0<x<2
所以1/2<x+1/2<5/2 2<x+2<4 均大于零
故 |x+1/2|+|x+2|
=x+1/2+x+2
=2x+5/2

已知x>2/3化简|3x-2|+|2x+1|

因为X>2/3所以3X-2的绝对值大于0,2X+1的绝对值大于0
所以原式=3X-2+2X+1=5X-1

已知2x-1/3-1≥x-5-3x/2，化简|x-1|-|2-x| 跪求啊

2x-1/3-1≥x-5-3x/2
两边乘6
4x-2-6≥6x-15+9x
11x≤7
x≤7/11
所以x-1<0,2-x>0
原式=-(x-1)-(2-x)
=-x+1-2+x
=-1

化简 （3/x2-1 + 1/1-x）/ x-2/x2-2x+1

{3/[(x十1)(x一1)]一1/(x一1)}/x一2/[(x十1)^2]=(3一x一1)/[x(X十1)(X一1)]一2/(X十1)^2=[(2一x)(X十1)一2x(x一1)]/[x(x^2一1)]=(一x^2十X十2一2x^2十2x)/(X^3一X)=(一3x^2十3x十2)/(X^3一x)

已知x＞2/3，化简|3x-2|+|2x+1|的值

解：
因为：x＞2/3
所以：
|3x-2|+|2x+1|
=3|x-2/3|+2|x+1/2|
=3(x-2/3)+2(x+1/2)
=3x-2+2x+1
=5x-1