What is the inverse of ln((-x+2)/(x+2)) ?

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

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inverse of ln((-x+2)/(x+2))

inverse

ln (\frac{- x + 2}{x + 2})

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

Solution steps

y = ln (\frac{- x + 2}{x + 2})

Replace

x

with

y

x = ln (\frac{- y + 2}{y + 2})

Solve for

y, x = ln (\frac{- y + 2}{y + 2})

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

- 4 - x^{2}

x + \frac{1}{x}

(3.2) (8.15)

f (x) = \frac{1}{5} x^{4} - \frac{3}{4} x^{4}

f (x) = \frac{x ^{2}}{x + 1}

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