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Popular >

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

Solution

inverse

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

Solution

- \frac{ln ( 1 - x )}{2}

Solution steps

y = 1 - e^{- 2 x}

Replace

x

with

y

x = 1 - e^{- 2 y}

Solve for

y, x = 1 - e^{- 2 y}

- \frac{ln ( 1 - x )}{2}

Popular Examples

inverse of f(x)=-5x-9 inverse

f (x) = - 5 x - 9

slope ofintercept x+2y=2 slope intercept

x + 2 y = 2

asymptotes of ((-x^2+7x-12))/(5x-15)asymptotes

\frac{( - x ^{2} + 7 x - 12 )}{5 x - 15}

inverse of f(x)=6-9x inverse

f (x) = 6 - 9 x

intercepts of 6sin(x)intercepts

6 sin (x)

Frequently Asked Questions (FAQ)

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