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Popular >

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

Solution

inverse

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

Solution

- ln (x - 1)

Solution steps

y = 1 + e^{- x}

Replace

x

with

y

x = 1 + e^{- y}

Solve for

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

- ln (x - 1)

Popular Examples

inverse of f(x)=6-x^3 inverse

f (x) = 6 - x^{3}

inflection f(x)=x^3-4x^2-16x+5 inflection points

f (x) = x^{3} - 4 x^{2} - 16 x + 5

perpendicular y=x-3,(2,1)perpendicular

y = x - 3, (2, 1)

range of f(x)=(x-2)/((x-2)^2)range

f (x) = \frac{x - 2}{( x - 2 ) ^{2}}

monotone f(x)= 1/(x-4)+1 monotone intervals

f (x) = \frac{1}{x - 4} + 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(x-1)