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Popular >

inverse of (e^x)/(9+4e^x)

Solution

inverse

\frac{e ^{x}}{9 + 4 e ^{x}}

Solution

ln (- \frac{9 x}{4 x - 1})

Solution steps

y = \frac{e ^{x}}{9 + 4 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{9 + 4 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{9 + 4 e ^{y}}

ln (- \frac{9 x}{4 x - 1})

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Frequently Asked Questions (FAQ)

What is the inverse of (e^x)/(9+4e^x) ?
The inverse of (e^x)/(9+4e^x) is ln(-(9x)/(4x-1))