SOLUTION: please help me to solve this function:f(x)=log((1+x)/(1-x)) is this function odd or even?
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Question 762727: please help me to solve this function:f(x)=log((1+x)/(1-x)) is this function odd or even?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
is even \ =\ f(-x))
But \ =\ \log(b)\ \Leftrightarrow\ a\ =\ b)
So the question becomes
Move the right side to the left:
Apply the LCD and collect like terms in the numerator:
Only when 
. But certainly not for all 
. Therefore 
is not even.
is odd \ =\ -f(x))
\ < 0\ \Leftrightarrow\ a\ <\ 1)
Hence \ \neq\ \log(a))
unless 
Therefore \ =\ -f(x))
only if
is not odd, either
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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