What is the inverse of f(x)=(50)/((1-e^{-x))} ?

The inverse of f(x)=(50)/((1-e^{-x))} is -ln(-(50-x)/x)

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inverse of f(x)=(50)/((1-e^{-x))}

inverse

f (x) = \frac{50}{( 1 - e ^{- x} )}

- ln (- \frac{50 - x}{x})

Solution steps

y = \frac{50}{1 - e ^{- x}}

Replace

x

with

y

x = \frac{50}{1 - e ^{- y}}

Solve for

y, x = \frac{50}{1 - e ^{- y}}

- ln (- \frac{50 - x}{x})

y = 30.5 - 2.5 h

f (x) = \frac{3 x ^{2} - 5 x + 2}{3 x - 2}

f (x) = \frac{x + 4}{3 x - 1}

f (x) = \frac{( x + 5 )}{( x + 10 )}

f (x) = 2 lo g_{4} (1 - x) + 1

What is the inverse of f(x)=(50)/((1-e^{-x))} ?
The inverse of f(x)=(50)/((1-e^{-x))} is -ln(-(50-x)/x)