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Popular Functions >

inverse of g(x)=ln(x+sqrt(x^2+1))

Solution

inverse

g (x) = ln (x + x^{2} + 1)

Solution

- \frac{1 - e ^{2 x}}{2 e ^{x}}

Solution steps

y = ln (x + x^{2} + 1)

Replace

x

with

y

x = ln (y + y^{2} + 1)

Solve for

y, x = ln (y + y^{2} + 1)

- \frac{1 - e ^{2 x}}{2 e ^{x}}

Graph

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Frequently Asked Questions (FAQ)

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