are there any other results that of if f(x)f(1/x)=f(x)+f(1/x) then, if any other such results please tell me

Question

Deepak Kumar Shringi · Answer

yeah there are results such that f(x)+f(y)=f(xy) then f(x)=lnx f(x)f(y)=f(x+y) then f(x)=a x

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are there any other results that of if f(x)f(1/x)=f(x)+f(1/x) then, if any other such results please tell me

are there any other results that of
if f(x)f(1/x)=f(x)+f(1/x)
then,
$f(x)= 1 \pm x^n$
if any other such results please tell me

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are there any other results that of if f(x)f(1/x)=f(x)+f(1/x) then, if any other such results please tell me

are there any other results that of if f(x)f(1/x)=f(x)+f(1/x)then,if any other such results please tell me

1 Answers

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are there any other results that of
if f(x)f(1/x)=f(x)+f(1/x)
then,
$f(x)= 1 \pm x^n$
if any other such results please tell me