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

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

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inverse of f(x)=sqrt(x/(1-x))

inverse

f (x) = \frac{x}{1 - x}

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

e^{3 x + 1}

f (x) = 5 + x + 2

y = 4 x - 7

f (x) = 2 (x - 3)^{2} - 6

y = 4 x - 1

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