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Popular >

inverse of f(x)=ln((x+2)/x)

Solution

inverse

f (x) = ln (\frac{x + 2}{x})

Solution

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

Solution steps

y = ln (\frac{x + 2}{x})

Replace

x

with

y

x = ln (\frac{y + 2}{y})

Solve for

y, x = ln (\frac{y + 2}{y})

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

Popular Examples

inverse of f(x)=sqrt(5+7x)inverse

f (x) = 5 + 7 x

inverse of f(x)=(7x)/(4x-7)inverse

f (x) = \frac{7 x}{4 x - 7}

inverse of f(x)=(5x-2)/7 inverse

f (x) = \frac{5 x - 2}{7}

inverse of f(x)=-2sqrt(x+2)-6 inverse

f (x) = - 2 x + 2 - 6

inverse of f(x)=(((5x-2))/((3x+1)))inverse

f (x) = (\frac{( 5 x - 2 )}{( 3 x + 1 )})

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=ln((x+2)/x) ?
The inverse of f(x)=ln((x+2)/x) is 2/(e^x-1)