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Popular >

inverse of 1+e^x

Solution

inverse

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)

Graph

Popular Examples

inverse of f(x)=(4-2x)/(3+x)inverse

f (x) = \frac{4 - 2 x}{3 + x}

inverse of (2^x-2^{-x})/(2^x+2^{-x)}inverse

\frac{2 ^{x} - 2 ^{- x}}{2 ^{x} + 2 ^{- x}}

inverse of 2/3 (x-5)inverse

\frac{2}{3} (x - 5)

inverse of f(x)=(x^3+1)/3 inverse

f (x) = \frac{x ^{3} + 1}{3}

inverse of e^x+7 inverse

e^{x} + 7

Frequently Asked Questions (FAQ)

What is the inverse of 1+e^x ?
The inverse of 1+e^x is ln(x-1)