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Popular Functions >

inverse of f(x)=ln(((x+3))/x)

Solution

inverse

f (x) = ln (\frac{( x + 3 )}{x})

Solution

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

Solution steps

y = ln (\frac{x + 3}{x})

Replace

x

with

y

x = ln (\frac{y + 3}{y})

Solve for

y, x = ln (\frac{y + 3}{y})

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

Graph

Popular Examples

inverse of f(x)=x^2+4x+4

domain of f(x)=((2x+3))/(x(x^2+2x-3))

inverse of f(x)=(8-x)/5

extreme f(x)=-x^3+x^2+4x-2

Frequently Asked Questions (FAQ)

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