What is the inverse of f(x)=10*ln(1/(1+x)) ?

The inverse of f(x)=10*ln(1/(1+x)) is 1/(e^{\frac{x){10}}}-1

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inverse of f(x)=10*ln(1/(1+x))

inverse

f (x) = 10 \cdot ln (\frac{1}{1 + x})

\frac{1}{e ^{\frac{x}{10}}} - 1

Solution steps

y = 10 ln (\frac{1}{1 + x})

Replace

x

with

y

x = 10 ln (\frac{1}{1 + y})

Solve for

y, x = 10 \cdot ln (\frac{1}{1 + y})

\frac{1}{e ^{\frac{x}{10}}} - 1

What is the inverse of f(x)=10*ln(1/(1+x)) ?
The inverse of f(x)=10*ln(1/(1+x)) is 1/(e^{\frac{x){10}}}-1