y=(1-2x²)\(1+2x²) 如何用反解法求

y=(1-2x²)\(1+2x²) 如何用反解法求
y=(1-2x²)\(1+2x²) 如何用反解法求

y=(1-2x²)\(1+2x²) 如何用反解法求
y=(1-2x²)/(1+2x²)
(1+2x²)y=1-2x²
y+2yx²=1-2x²
(y+1)×2x²=1-y
2x²=(1-y)/(1+y)
因为2x²≥0
所以(1-y)/(1+y)≥0
(1+y)(1-y)≥0且1+y≠-1
(1+y)(y-1)≤0且1+y≠-1
解得-1≤y＜1
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