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let f(x)= (2008 x + 2008 -x )/2 , g(x)= (2008 x – 2008 -x )/2 then prove that f(x+y) = f(x)f(y)+g(x)g(y) please explain briefly

let f(x)= (2008+ 2008-x)/2 , g(x)= (2008x – 2008-x)/2 then prove that f(x+y) = f(x)f(y)+g(x)g(y)
 
please explain briefly

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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