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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = e^{- 2 x}

Replace

x

with

y

x = e^{- 2 y}

Solve for

y, x = e^{- 2 y}

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

Graph

Popular Examples

inverse of g(x)=sqrt(12-2x)-3/2 inverse

g (x) = 12 - 2 x - \frac{3}{2}

inverse of f(x)=5+2sin((x-1)/(x+1))inverse

f (x) = 5 + 2 sin (\frac{x - 1}{x + 1})

inverse of f(x)=10+sqrt(5x-5)inverse

f (x) = 10 + 5 x - 5

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

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

inverse of (2x-5)^2 inverse

(2 x - 5)^{2}

Frequently Asked Questions (FAQ)

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