y=(x^1/2)/(x-1)的反函数怎么求?

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y=(x^1/2)/(x-1)的反函数怎么求?y=(x^1/2)/(x-1)的反函数怎么求?y=(x^1/2)/(x-1)的反函数怎么求?(x-1)y=√xxy-√x-y=0(√x-y/2)²

y=(x^1/2)/(x-1)的反函数怎么求?
y=(x^1/2)/(x-1)的反函数怎么求?

y=(x^1/2)/(x-1)的反函数怎么求?
(x-1)y=√x
xy-√x-y=0
(√x-y/2)²=y+y²/4
√x-y/2=√(y+y²/4)
√x=y/2+√(y+y²/4)
x=y²/4+y+y²/4+y√(y+y²/4)
反函数为y=x²/2+x+x√(x+x²/4)