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What is the inverse function of #f(x)=x/(x+1)#?

1 Answer

Aug 2, 2015

#f^-1 x= x/(1-x)#

Explanation:

Let y= #x/(1+x)#. Now change y to x and x to y,

x= #y/(1+y)#. Now solve it for y,

x+xy =y

x= (1-x)y

y=#f^-1 x= x/(1-x)#

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