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Popular Functions >

inverse of f(x)=log_{e}((x+4)/x)

Solution

inverse

Solution

\frac{4}{e ^{x} - 1}

Solution steps

y = lo g_{e} (\frac{x + 4}{x})

Replace

x

with

y

x = lo g_{e} (\frac{y + 4}{y})

Solve for

y, x = lo g_{e} (\frac{y + 4}{y})

\frac{4}{e ^{x} - 1}

Graph

Popular Examples

intercepts of f(x)=2x+1

extreme f(x)=12x^2-3x^4

midpoint (-10,6),(2,-4)

domain of 1/(x-3)+4

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{e}((x+4)/x) ?
The inverse of f(x)=log_{e}((x+4)/x) is 4/(e^x-1)