f(x)=1-[2/(x-2)] x属于D的值域为(-无穷,-3)U(1,2),其定义域为?

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f(x)=1-[2/(x-2)] x属于D的值域为(-无穷,-3)U(1,2),其定义域为?
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f(x)=1-[2/(x-2)] x属于D的值域为(-无穷,-3)U(1,2),其定义域为?
f(x)=1-[2/(x-2)] x属于D的值域为(-无穷,-3)U(1,2),其定义域为?

f(x)=1-[2/(x-2)] x属于D的值域为(-无穷,-3)U(1,2),其定义域为?
1-2/(x-2)<-3
2/(x-3)>4
0<(x-3)/2<1/4
031<1-2/(x-2)<2
-1<2/(x-2)<0
所以(x-2)/2<-1
x-2<-2
x<0
所以定义域(-无穷,0)∪(3,7/2)