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) About Me  (Show Source):
You can put this solution on YOUR website!


is even

But

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



Hence unless

Therefore 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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