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Popular >

inverse of y=(e^x)/(1+6e^x)

Solution

inverse

y = \frac{e ^{x}}{1 + 6 e ^{x}}

Solution

ln (- \frac{x}{6 x - 1})

Solution steps

y = \frac{e ^{x}}{1 + 6 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{1 + 6 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{1 + 6 e ^{y}}

ln (- \frac{x}{6 x - 1})

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Frequently Asked Questions (FAQ)

What is the inverse of y=(e^x)/(1+6e^x) ?
The inverse of y=(e^x)/(1+6e^x) is ln(-x/(6x-1))