Question: Show that is an odd function and that any function f(x) may be written as the sum of an odd and an even function. Illustrate

Show that

h(x) [f(x) = f(-x)] - =is an odd function and that any function f(x) may be written as the sum of an odd and an even function. Illustrate this result with f(x) = (x – 1)3.

h(x) [f(x) = f(-x)] - =

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