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Popular >

inverse of (e^x)/(1+8e^x)

Solution

inverse

\frac{e ^{x}}{1 + 8 e ^{x}}

Solution

ln (- \frac{x}{8 x - 1})

Solution steps

y = \frac{e ^{x}}{1 + 8 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{1 + 8 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{1 + 8 e ^{y}}

ln (- \frac{x}{8 x - 1})

Popular Examples

critical x^4-5x^3+x^2+21x-18 critical points

x^{4} - 5 x^{3} + x^{2} + 21 x - 18

asymptotes of f(x)= 1/(x-3)asymptotes

f (x) = \frac{1}{x - 3}

intercepts of f(x)=3x^2-6x-1 intercepts

f (x) = 3 x^{2} - 6 x - 1

line m=0,(-4,2)line

m = 0, (- 4, 2)

parity f(x)=x^4-4x^2 parity

f (x) = x^{4} - 4 x^{2}

Frequently Asked Questions (FAQ)

What is the inverse of (e^x)/(1+8e^x) ?
The inverse of (e^x)/(1+8e^x) is ln(-x/(8x-1))