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Popular >

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

Solution

inverse

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

Solution

- ln (x)

Solution steps

y = e^{- x}

Replace

x

with

y

x = e^{- y}

Solve for

y, x = e^{- y}

- ln (x)

Popular Examples

inverse of f(x)=2^x-3 inverse

f (x) = 2^{x} - 3

intercepts of f(y)=sqrt(x^2+5x-2)intercepts

f (y) = x^{2} + 5 x - 2

domain of f(x)=196x^2-112x-240 domain

f (x) = 196 x^{2} - 112 x - 240

inverse of f(x)=1.34sqrt(x)inverse

f (x) = 1.34 x

inverse of 3x+2 inverse

3 x + 2

Frequently Asked Questions (FAQ)

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