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if f(x+y) + f(x-y) =2f(x)f(y) and f(0)=k then find f(x)?

 
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May30-08, 01:34 AM   #1
 

if f(x+y) + f(x-y) =2f(x)f(y) and f(0)=k then find f(x)?


if
f(x+y) + f(x-y) =2f(x)f(y)
and f(0)=k
then find f(x)?

What should be approach followed to solve this question .
plz ans it soon
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May30-08, 03:18 AM   #2
 
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You have an expression with f(x) and f(y) and you only want f(x). So you have to get rid of y.

One more hint: that identity holds for all values of y.
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