Even, Odd, or Neither Functions The Easy Way! - Graphs & Algebraically, Properties & Symmetry

Is this function even or odd?

If f(x) is an even function and satisfied the relation x2, f(x)-2f(1/x)=g(x) g(x) is an odd function

The function f(x) = log (x+√(x^2+1) is an even function or odd function or periodic function

Specify if functions are even, odd, neither for f(x) = [x/2] and f(x) = x^3 -2x. Sketch graphs.

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Prove that `f(x)=x(x/(e^(x)-1)+x/2)` is odd function.

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