What is the inverse of f(x)=16.438e^{-0.086x} ?

The inverse of f(x)=16.438e^{-0.086x} is -(ln(\frac{500x)/(8219))}{0.086}

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inverse of f(x)=16.438e^{-0.086x}

inverse

f (x) = 16.438 e^{- 0.086 x}

- \frac{ln ( \frac{500 x}{8219} )}{0.086}

Solution steps

y = 16.438 e^{- 0.086 x}

Replace

x

with

y

x = 16.438 e^{- 0.086 y}

Solve for

y, x = 16.438 e^{- 0.086 y}

- \frac{ln ( \frac{500 x}{8219} )}{0.086}

f (x) = 9 - t

f (x) = x^{2} + y - 4 = 0

\frac{x + 4}{x - 3}

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

What is the inverse of f(x)=16.438e^{-0.086x} ?
The inverse of f(x)=16.438e^{-0.086x} is -(ln(\frac{500x)/(8219))}{0.086}