求反函数数学题y=1-3x/5x-2y(5x-2)=1-3x(5y+3)x=1+2y 为什么5x-2变了Y+3x=(1+2y)/(5y+3)反函数:y=(1+2x)/(5x+3)
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![求反函数数学题y=1-3x/5x-2y(5x-2)=1-3x(5y+3)x=1+2y 为什么5x-2变了Y+3x=(1+2y)/(5y+3)反函数:y=(1+2x)/(5x+3)](/uploads/image/z/7842002-50-2.jpg?t=%E6%B1%82%E5%8F%8D%E5%87%BD%E6%95%B0%E6%95%B0%E5%AD%A6%E9%A2%98y%3D1-3x%2F5x-2y%285x-2%29%3D1-3x%285y%2B3%29x%3D1%2B2y+%E4%B8%BA%E4%BB%80%E4%B9%885x-2%E5%8F%98%E4%BA%86Y%2B3x%3D%281%2B2y%29%2F%285y%2B3%29%E5%8F%8D%E5%87%BD%E6%95%B0%EF%BC%9Ay%3D%281%2B2x%29%2F%285x%2B3%29)
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求反函数数学题y=1-3x/5x-2y(5x-2)=1-3x(5y+3)x=1+2y 为什么5x-2变了Y+3x=(1+2y)/(5y+3)反函数:y=(1+2x)/(5x+3)
求反函数数学题
y=1-3x/5x-2
y(5x-2)=1-3x
(5y+3)x=1+2y 为什么5x-2变了Y+3
x=(1+2y)/(5y+3)
反函数:y=(1+2x)/(5x+3)
求反函数数学题y=1-3x/5x-2y(5x-2)=1-3x(5y+3)x=1+2y 为什么5x-2变了Y+3x=(1+2y)/(5y+3)反函数:y=(1+2x)/(5x+3)
由y=(1-3x)/(5x-2),
得:y(5x-2)=1-3x,
5xy-2y+3x=1,
5xy+3x=1+2y,
(5y+3)x=1+2y
x=(1+2y)/(5y+3)(1)
∴y=(1+2x)/(5x+3).(2),
(1)将x表示为y的函数,
(2)将x,y对换,得到原函数的反函数.
你的步骤都是正确的.