If g(x) satisfies 4g(x) + g(1-x) = 3x^{2}, what is what is g(x)?
I'm really stuck, what is a possible solution?
I expect since this particular combination of functions gives you a quadratic, you will probably find that g(x) is a quadratic. So let , then . So
So this means .
Therefore a function which satisfies your original equation is .