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Popular >

inverse of f(x)=1-e^{-x/5}

Solution

inverse

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

Solution

- 5 ln (1 - x)

Solution steps

y = 1 - e^{- \frac{x}{5}}

Replace

x

with

y

x = 1 - e^{- \frac{y}{5}}

Solve for

y, x = 1 - e^{- \frac{y}{5}}

- 5 ln (1 - x)

Popular Examples

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y = 3 x (6 - x)

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- 2 x - 1 + 1

inverse of f(x)=5(x-5)^7 inverse

f (x) = 5 (x - 5)^{7}

inverse of f(x)=(4x-5)/(2x+3)inverse

f (x) = \frac{4 x - 5}{2 x + 3}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=1-e^{-x/5} ?
The inverse of f(x)=1-e^{-x/5} is -5ln(1-x)