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Popular Functions >

inverse of f(x)=e^{x/(x-1)}

Solution

inverse

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

Solution

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

Solution steps

y = e^{\frac{x}{x - 1}}

Replace

x

with

y

x = e^{\frac{y}{y - 1}}

Solve for

y, x = e^{\frac{y}{y - 1}}

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

Graph

Popular Examples

line m=-1/3 ,(-2,4)

inflection (1+x)/(1+x^2)

parity (x^2+2x+3)/(x^3+x)

range of f(x)=(x+9)/(x^2+5)

domain of log_{0.5}(x)

Frequently Asked Questions (FAQ)

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