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Let f(x)=((2008)^x+(2008)^(-x))/2,g(x)=(...

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)`

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Knowledge Check

  • Let f(x)=x^(2)+xg'(1)+g''(2) and g(x)=f(1).x^(2)+xf'(x)+f''(x) then

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