合聚咖

合聚咖

如何求分子分母都带都有未知数的反函数如(x-1)/(x+1)请详细说明

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解:去分母、化简

y=(x-1)/(x+1)

y(x+1)=(x-1)

xy+y=x-1

xy-x=-y-1

x(1-y)=y+1

x=(y+1)/(1-y)

即反函数是y=(x+1)/(1-x)