What is the inverse of f(x)=9.2452e^{-7.289x} ?

The inverse of f(x)=9.2452e^{-7.289x} is -(ln(x/(9.2452)))/(7.289)

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inverse of f(x)=9.2452e^{-7.289x}

inverse

f (x) = 9.2452 e^{- 7.289 x}

- \frac{ln ( \frac{x}{9.2452} )}{7.289}

Solution steps

y = 9.2452 e^{- 7.289 x}

Replace

x

with

y

x = 9.2452 e^{- 7.289 y}

Solve for

y, x = 9.2452 e^{- 7.289 y}

- \frac{ln ( \frac{x}{9.2452} )}{7.289}

f (x) = tan (\frac{x}{1 + x})

f (x) = \frac{9 + 10 x}{8}

f (x) = \frac{6 x}{x - 3}, x \neq = 3

y = 43 x + 2

f (x) = 1.35 x + 114 - 2.85 x

What is the inverse of f(x)=9.2452e^{-7.289x} ?
The inverse of f(x)=9.2452e^{-7.289x} is -(ln(x/(9.2452)))/(7.289)