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Popular >

inverse of f(x)=1-e^{-3x}

Solution

inverse

f (x) = 1 - e^{- 3 x}

Solution

- \frac{ln ( 1 - x )}{3}

Solution steps

y = 1 - e^{- 3 x}

Replace

x

with

y

x = 1 - e^{- 3 y}

Solve for

y, x = 1 - e^{- 3 y}

- \frac{ln ( 1 - x )}{3}

Popular Examples

inverse of f(x)=(9(1)-3)/(9(1)+7)inverse

f (x) = \frac{9 ( 1 ) - 3}{9 ( 1 ) + 7}

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f (x) = \frac{4}{3} ln (4 x - \frac{1}{3}) - \frac{4}{5}

inverse of 8x+7 inverse

8 x + 7

inverse of f(x)=λ*e^{λ*2x}inverse

f (x) = λ \cdot e^{λ \cdot 2 x}

inverse of f(x)= 9/(x+9)inverse

f (x) = \frac{9}{x + 9}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=1-e^{-3x} ?
The inverse of f(x)=1-e^{-3x} is -(ln(1-x))/3