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Popular >

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

Solution

inverse

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

Solution

\frac{1}{ln ( x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{1}{ln ( x )}

Popular Examples

inverse of f(x)=arccos(e^x)inverse

f (x) = arccos (e^{x})

extreme f(x)=(x^2-2x-3)/x extreme points

f (x) = \frac{x ^{2} - 2 x - 3}{x}

range of f(x)=2^{x+1}-3 range

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

slope ofintercept 3/5 slope intercept

\frac{3}{5}

asymptotes of f(x)=2(3)^x asymptotes

f (x) = 2 (3)^{x}

Frequently Asked Questions (FAQ)

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