What is the inverse of f(x)=70e^{-0.0009x} ?

The inverse of f(x)=70e^{-0.0009x} is -(ln(x/(70)))/(0.0009)

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inverse of f(x)=70e^{-0.0009x}

inverse

f (x) = 70 e^{- 0.0009 x}

- \frac{ln ( \frac{x}{70} )}{0.0009}

Solution steps

y = 70 e^{- 0.0009 x}

Replace

x

with

y

x = 70 e^{- 0.0009 y}

Solve for

y, x = 70 e^{- 0.0009 y}

- \frac{ln ( \frac{x}{70} )}{0.0009}

What is the inverse of f(x)=70e^{-0.0009x} ?
The inverse of f(x)=70e^{-0.0009x} is -(ln(x/(70)))/(0.0009)