Let f (x) satisfy f (x) + 2 (- x) = the square of X + 5x + 9

Let f (x) satisfy f (x) + 2 (- x) = the square of X + 5x + 9

This kind of problem is to replace x with - X and change the equation again. If f (- x) is eliminated from the two equations, then f (x) will be obtained
The original equation is set as (1) equation
Replacing x with - x, the new equation is f (- x) + 2F (x) = (- x) ^ 2 + 5 (- x) + 9. (2)
(2) * 2 - (1) eliminate f (- x) to get 3f (x) = x ^ 2-15x + 9, that is, f (x) = 1 / 3x ^ 2-5x + 3