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Popular >

inverse of 1-e^{-ax}

Solution

inverse

1 - e^{- a x}

Solution

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

Solution steps

y = 1 - e^{- a x}

Replace

x

with

y

x = 1 - e^{- a y}

Solve for

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

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

Popular Examples

inverse of f(x)=(x^2+4x-12)/(x^2-9x+14)inverse

f (x) = \frac{x ^{2} + 4 x - 12}{x ^{2} - 9 x + 14}

inverse of f(x)=(2x)/5-3 inverse

f (x) = \frac{2 x}{5} - 3

inverse of f(x)=sqrt(1-3x)inverse

f (x) = 1 - 3 x

inverse of 4.6 inverse

4.6

inverse of f(x)=6-12 inverse

f (x) = 6 - 12

Frequently Asked Questions (FAQ)

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