If 2 f left parenthesis x right parenthesis plus f left parenthesis 1 minus x right parenthesis equals x squared2f (x) + f (1 - x) = x2 what is f (x ) ?

If you would like to know what is f (x), you can find this using the following steps:

f (x) = ?

2 * f (x) + f (1-x) = x^2

2 * f (x) = x^2 - f (1-x) / 2

f (x) = (x^2 - f (1-x)) / 2

f (x) = x^2 / 2 - f (1-x) / 2

The correct result would be f (x) = x^2 / 2 - f (1-x) / 2.