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Popular >

inverse of (e^x)/(1+3e^x)

Solution

inverse

\frac{e ^{x}}{1 + 3 e ^{x}}

Solution

ln (- \frac{x}{3 x - 1})

Solution steps

y = \frac{e ^{x}}{1 + 3 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{1 + 3 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{1 + 3 e ^{y}}

ln (- \frac{x}{3 x - 1})

Popular Examples

symmetry x=-8y^2 symmetry

x = - 8 y^{2}

inverse of f(x)=10x inverse

f (x) = 10 x

slope of (-2-3) 5/2 slope

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

asymptotes of f(x)=(2x-4)/(2x^2-1)asymptotes

f (x) = \frac{2 x - 4}{2 x ^{2} - 1}

range of-4+(x-2)^2 range

- 4 + (x - 2)^{2}

Frequently Asked Questions (FAQ)

What is the inverse of (e^x)/(1+3e^x) ?
The inverse of (e^x)/(1+3e^x) is ln(-x/(3x-1))