What is the inverse of (1+sqrt(x))/(1-sqrt(x)) ?

The inverse of (1+sqrt(x))/(1-sqrt(x)) is (1-2x+x^2)/(1+2x+x^2)

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inverse of (1+sqrt(x))/(1-sqrt(x))

inverse

\frac{1 + x}{1 - x}

\frac{1 - 2 x + x ^{2}}{1 + 2 x + x ^{2}}

Solution steps

y = \frac{1 + x}{1 - x}

Replace

x

with

y

x = \frac{1 + y}{1 - y}

Solve for

y, x = \frac{1 + y}{1 - y}

\frac{1 - 2 x + x ^{2}}{1 + 2 x + x ^{2}}

f (x) = \frac{1}{4} - (\frac{x - 10}{x + 6})

f (x) = (x - 1)^{2}, [1, \infty]

\frac{5 x - 15}{3 x + 7}

5 3 x + 1

\frac{2 x + 3}{5 x - 1}

What is the inverse of (1+sqrt(x))/(1-sqrt(x)) ?
The inverse of (1+sqrt(x))/(1-sqrt(x)) is (1-2x+x^2)/(1+2x+x^2)