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funtowrite
 3 years ago
Hi, can someone explain how to work through pset1 question 1A4 b)? Thanks!
The question is:
" b) Generalize part (a) to an arbitrary function f(x) by writing
f(x)= [f(x)+ f(−x)]/2+ [f(x)+ f(−x)]/2
Verify this equation, and then show that the two functions on the right are respectively even and odd. "
funtowrite
 3 years ago
Hi, can someone explain how to work through pset1 question 1A4 b)? Thanks! The question is: " b) Generalize part (a) to an arbitrary function f(x) by writing f(x)= [f(x)+ f(−x)]/2+ [f(x)+ f(−x)]/2 Verify this equation, and then show that the two functions on the right are respectively even and odd. "

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hellow
 3 years ago
Best ResponseYou've already chosen the best response.1There seems to be a mistake in the original assignment. If you check the solutions, you will find that the suggested equation is actually \[f(x) = [f(x)+ f(x)] / 2 + [f(x)  f(x)]/2\]. In fact, if you simplify the equation originally given, you will get f(x) = [2f(x) +2f(x)]/2= f(x) + f(x). That is, 0=f(x), which is not true in general. Hope that helps.

funtowrite
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you! I think I understand it now :)
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