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

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

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

inverse

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

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

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}{1 + x}

f (x) = 1 + 3 x

\frac{6}{x + 1}

f (x) = \frac{x}{4} + 5, - 3 \leq x \leq 4

- 9 x

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