What is the inverse of (100000)/(100+900e^{-t)} ?

The inverse of (100000)/(100+900e^{-t)} is -ln((1000-t)/(9t))

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inverse of (100000)/(100+900e^{-t)}

inverse

\frac{100000}{100 + 900 e ^{- t}}

- ln (\frac{1000 - t}{9 t})

Solution steps

y = \frac{100000}{100 + 900 e ^{- t}}

Replace

t

with

y

t = \frac{100000}{100 + 900 e ^{- y}}

Solve for

y, t = \frac{100000}{100 + 900 e ^{- y}}

- ln (\frac{1000 - t}{9 t})

\frac{9 x}{3 - x}

f (x) = x^{4} - 7 x^{3} - 13 x^{2}

f (x) = - x^{2} + 11

What is the inverse of (100000)/(100+900e^{-t)} ?
The inverse of (100000)/(100+900e^{-t)} is -ln((1000-t)/(9t))