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Popular >

inverse of f(x)=1-e^{-λx}

Solution

inverse

f (x) = 1 - e^{- λ x}

Solution

- \frac{ln ( 1 - x )}{λ}

Solution steps

y = 1 - e^{- λ x}

Replace

x

with

y

x = 1 - e^{- λ y}

Solve for

y, x = 1 - e^{- λ y}

- \frac{ln ( 1 - x )}{λ}

Graph

Popular Examples

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f (x) = (2)

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\frac{8}{x - 5}

Frequently Asked Questions (FAQ)

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