Annoying math question!
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Annoying math question!

[From: ] [author: ] [Date: 11-09-21] [Hit: ]
......
This question has been annoying me for too long:

Let f(x) be an invertible function, with domain R. Let p(x) = 1 / ( 1 + f(x) ). Find p^−1(x), in terms of f^−1.

Help is greatly appreciated :D

-
x=1/(1+f(p^-1(x)))
1/x=1+f(p^-1(x))
1/x-1=f(p^-1(x))
f^-1((1-x)/x)=p^-1(x)
1
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