y=1-|x|/1+|x|求值域,要过程

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y=1-|x|/1+|x|求值域,要过程

y=1-|x|/1+|x|求值域,要过程
y=1-|x|/1+|x|求值域,要过程

y=1-|x|/1+|x|求值域,要过程
y=(1-|x|)/(1+|x|)
(1-|x|)=y+y|x|
(1-y)=(1+y)|x|
(1-y)/(1+y)=|x|≥0
(1-y)(y+1)≥0(y≠ -1)
y≥1,或y

当x大于等于0时:
y=1/(x+1) 0当x小于0时:
y=1/(1-x) 0所以 0

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y=(1-|x|)/(1+|x|)
(1-|x|)=y+y|x|
(1-y)=(1+y)|x|
(1-y)/(1+y)=|x|≥0
(y-1)/(y+1)<=0(y≠ -1)
-1原函数的值域为(-1.1]