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Popular >

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

Solution

inverse

f (x) = 1 - e^{- x}

Solution

- ln (1 - x)

Solution steps

y = 1 - e^{- x}

Replace

x

with

y

x = 1 - e^{- y}

Solve for

y, x = 1 - e^{- y}

- ln (1 - x)

Popular Examples

slope of y=5x-3 slope

y = 5 x - 3

line (-2,0),(0,10)line

(- 2, 0), (0, 10)

inverse of f(x)=-x^2+6x-4 inverse

f (x) = - x^{2} + 6 x - 4

domain of (5+2x)/(1+x)domain

\frac{5 + 2 x}{1 + x}

inverse of (3x+4)/(6x-1)inverse

\frac{3 x + 4}{6 x - 1}

Frequently Asked Questions (FAQ)

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