What is the inverse of f(x)=1-e^{-0.01x} ?

The inverse of f(x)=1-e^{-0.01x} is -(ln(1-x))/(0.01)

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inverse of f(x)=1-e^{-0.01x}

inverse

f (x) = 1 - e^{- 0.01 x}

- \frac{ln ( 1 - x )}{0.01}

Solution steps

y = 1 - e^{- 0.01 x}

Replace

x

with

y

x = 1 - e^{- 0.01 y}

Solve for

y, x = 1 - e^{- 0.01 y}

- \frac{ln ( 1 - x )}{0.01}

cot (\frac{1}{8} x)

f (x) = x^{4} - 12 x^{3}

(1, 3), (- 8, - 6)

\frac{x ^{2} - 4}{x ^{2}}

\frac{( 5 x + 4 ) ( 4 x - 2 )}{( x ^{2} - 36 ) ^{2}}

What is the inverse of f(x)=1-e^{-0.01x} ?
The inverse of f(x)=1-e^{-0.01x} is -(ln(1-x))/(0.01)