F1 (x) = f (x) + F (- x) is even function, F2 (x) = f (x) - f (- x) is odd function, right | Math enthusiast | Mathematical art

F1 (x) = f (x) + F (- x) is even function, F2 (x) = f (x) - f (- x) is odd function, right

F1(x)=f(x)+f(-x)
F1(-x)=f(-x)+f(x)=F1(x)
So F1 (x) = f (x) + F (- x) is even function
Similarly, F2 (- x) = f (- x) - f (x) = - F2 (x) is an odd function
So right

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