What is the inverse of f(x)=160e^{-0.0165x} ?

The inverse of f(x)=160e^{-0.0165x} is -(ln(x/(160)))/(0.0165)

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inverse of f(x)=160e^{-0.0165x}

inverse

f (x) = 160 e^{- 0.0165 x}

- \frac{ln ( \frac{x}{160} )}{0.0165}

Solution steps

y = 160 e^{- 0.0165 x}

Replace

x

with

y

x = 160 e^{- 0.0165 y}

Solve for

y, x = 160 e^{- 0.0165 y}

- \frac{ln ( \frac{x}{160} )}{0.0165}

9 x^{2} - 4

f (x) = \frac{x - 8}{11}

h (x) = - x^{2} + 6, x \geq 0

f (x) = \frac{9 x}{8 x - 3}

f (x) = 16 x^{2} - 24 x + 6

What is the inverse of f(x)=160e^{-0.0165x} ?
The inverse of f(x)=160e^{-0.0165x} is -(ln(x/(160)))/(0.0165)