What is the inverse of (6000)/(5+1995e^{-0.75x)} ?

The inverse of (6000)/(5+1995e^{-0.75x)} is -(ln(\frac{1200-x)/(399x))}{0.75}

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inverse of (6000)/(5+1995e^{-0.75x)}

inverse

\frac{6000}{5 + 1995 e ^{- 0.75 x}}

- \frac{ln ( \frac{1200 - x}{399 x} )}{0.75}

Solution steps

y = \frac{6000}{5 + 1995 e ^{- 0.75 x}}

Replace

x

with

y

x = \frac{6000}{5 + 1995 e ^{- 0.75 y}}

Solve for

y, x = \frac{6000}{5 + 1995 e ^{- 0.75 y}}

- \frac{ln ( \frac{1200 - x}{399 x} )}{0.75}

f (x) = \frac{x ^{2} + 6 x + 5}{x ^{2} - 9}

f = - 3

lo g_{3} (x + 2)

y = 3 x

(- 7, - 7), (- 3, 6)

What is the inverse of (6000)/(5+1995e^{-0.75x)} ?
The inverse of (6000)/(5+1995e^{-0.75x)} is -(ln(\frac{1200-x)/(399x))}{0.75}