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Popular Functions >

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

Solution

inverse

Solution

ln (x + x^{2} - 1), ln (x - x^{2} - 1)

Solution steps

y = \frac{e ^{x} + e ^{- x}}{2}

Replace

x

with

y

x = \frac{e ^{y} + e ^{- y}}{2}

Solve for

y, x = \frac{e ^{y} + e ^{- y}}{2}

ln (x + x^{2} - 1), ln (x - x^{2} - 1)

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of (e^x+e^{-x})/2 ?
The inverse of (e^x+e^{-x})/2 is ln(x+sqrt(x^2-1)),ln(x-sqrt(x^2-1))