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Popular >

inverse of f(x)=4-e^{-5x}

Solution

inverse

f (x) = 4 - e^{- 5 x}

Solution

- \frac{ln ( 4 - x )}{5}

Solution steps

y = 4 - e^{- 5 x}

Replace

x

with

y

x = 4 - e^{- 5 y}

Solve for

y, x = 4 - e^{- 5 y}

- \frac{ln ( 4 - x )}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=4-e^{-5x} ?
The inverse of f(x)=4-e^{-5x} is -(ln(4-x))/5