What is the inverse of (6-e^{-x})/(6+e^{-x)} ?

The inverse of (6-e^{-x})/(6+e^{-x)} is -ln((6-6x)/(x+1))

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inverse of (6-e^{-x})/(6+e^{-x)}

inverse

\frac{6 - e ^{- x}}{6 + e ^{- x}}

- ln (\frac{6 - 6 x}{x + 1})

Solution steps

y = \frac{6 - e ^{- x}}{6 + e ^{- x}}

Replace

x

with

y

x = \frac{6 - e ^{- y}}{6 + e ^{- y}}

Solve for

y, x = \frac{6 - e ^{- y}}{6 + e ^{- y}}

- ln (\frac{6 - 6 x}{x + 1})

4 a^{2} - 3 a + 1

4 - 5 x

(2 x + 1)^{\frac{1}{3}}

f (x) = (x - 4)^{2}, [4, \infty]

16 x^{2}

What is the inverse of (6-e^{-x})/(6+e^{-x)} ?
The inverse of (6-e^{-x})/(6+e^{-x)} is -ln((6-6x)/(x+1))