Find the domain and range of the following functions.(求定义域和值
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Find the domain and range of the following functions.(求定义域和值域)
(a) y=(x+1)^0/√|x|-x
【注:根号下是|x|-x】
(b) y=1/1-√x-2
【注:根号下是x-2】
(a) y=(x+1)^0/√|x|-x
【注:根号下是|x|-x】
(b) y=1/1-√x-2
【注:根号下是x-2】
(a) y=(x+1)^0/√|x|-x
√|x|-x不等于0 x+1不等于0 计算得x<0且x不等于-1
√|x|-x>0 y=(x+1)^0/√|x|-x在定义域内等于y=1/√|x|-x 所以y>0
定义域x<0且x不等于-1 值域y>0
(b) y=1/1-√x-2
x-2>=0 x<=2
y=1-√x-2 √x-2>=0 y<=1
定义域x<2 值域y<=1
√|x|-x不等于0 x+1不等于0 计算得x<0且x不等于-1
√|x|-x>0 y=(x+1)^0/√|x|-x在定义域内等于y=1/√|x|-x 所以y>0
定义域x<0且x不等于-1 值域y>0
(b) y=1/1-√x-2
x-2>=0 x<=2
y=1-√x-2 √x-2>=0 y<=1
定义域x<2 值域y<=1
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