- #1
quddusaliquddus
- 354
- 2
I want to determine all continuous functions s.t. for all x, y reals:
f(x+y)f(x-y) = {f(x)f(y)}^2
Now, I want to know where on the web I can learn how I go about doing this, because I don't know what methods to use or what I should be aiming at in manipulating the above.
I don't want an answer - - I just want to know how to go-about if I want to do this...rather like how I know how to calculate the two roots of an equation, I'd go about factorising for example.
Thank you!
f(x+y)f(x-y) = {f(x)f(y)}^2
Now, I want to know where on the web I can learn how I go about doing this, because I don't know what methods to use or what I should be aiming at in manipulating the above.
I don't want an answer - - I just want to know how to go-about if I want to do this...rather like how I know how to calculate the two roots of an equation, I'd go about factorising for example.
Thank you!