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

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

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

inverse

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

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

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

in t erce pt s f (x) = \frac{( x - 1 ) ^{2}}{x - 5}

d i s t an ce (0, 0), (- 6, 8)

e x t re m e f (x) = - x^{2} - 3 x + 3

a sy m pt o t es \frac{2 x ^{2} - 3 x - 5}{2 x ^{2} - 5 x - 3}

p a r i t y f (- x) = 3 x^{3} - 5 x

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