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Single Variable Calculus

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Difficult

It's Only Rational to Find the Inverse

SVCALC-THLNUH

Find a formula for the inverse of the function.

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

A

$y=-\cfrac { { e }^{ x } }{ 1-{ e }^{ x } } $

B

$y=\cfrac { 1-{ e }^{ x } }{ { e }^{ x } }$

C

$y=\ln { \cfrac { x }{ x+1 } }$

D

$y=\ln { \cfrac { { e }^{ x } }{ 1-{ e }^{ x } } } $

E

$y=\cfrac { \ln { x } }{ 1-\ln { x } } $