What is the inverse of f(x)=(200000)/(20+80e^{-t)} ?

The inverse of f(x)=(200000)/(20+80e^{-t)} is -ln((10000-t)/(4t))

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inverse of f(x)=(200000)/(20+80e^{-t)}

inverse

f (x) = \frac{200000}{20 + 80 e ^{- t}}

- ln (\frac{10000 - t}{4 t})

Solution steps

x = \frac{200000}{20 + 80 e ^{- t}}

Replace

t

with

x

t = \frac{200000}{20 + 80 e ^{- x}}

Solve for

x, t = \frac{200000}{20 + 80 e ^{- x}}

- ln (\frac{10000 - t}{4 t})

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

5 x^{3} + 1

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

y = lo g_{2} (x - 1)

What is the inverse of f(x)=(200000)/(20+80e^{-t)} ?
The inverse of f(x)=(200000)/(20+80e^{-t)} is -ln((10000-t)/(4t))