What is the inverse of f(x)=1-(e^{-(x-1)})/2 ?

The inverse of f(x)=1-(e^{-(x-1)})/2 is -ln(2-2x)+1

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inverse of f(x)=1-(e^{-(x-1)})/2

inverse

f (x) = 1 - \frac{e ^{- (x - 1)}}{2}

- ln (2 - 2 x) + 1

Solution steps

y = 1 - \frac{e ^{- (x - 1)}}{2}

Replace

x

with

y

x = 1 - \frac{e ^{- (y - 1)}}{2}

Solve for

y, x = 1 - \frac{e ^{- (y - 1)}}{2}

- ln (2 - 2 x) + 1

f (x) = (535)^{3} - 6

y = \frac{- 4}{x + 4}

- \frac{1}{12}

h (x) = \frac{( x + 3 )}{( x - 2 )}

ln (1 - J)

What is the inverse of f(x)=1-(e^{-(x-1)})/2 ?
The inverse of f(x)=1-(e^{-(x-1)})/2 is -ln(2-2x)+1