The function f (x) defined on R is an odd function, G (x) is an even function, and f (x) - G (x) = x * x-2x-3. The analytic expressions of F (x) and G (x) are obtained

The function f (x) defined on R is an odd function, G (x) is an even function, and f (x) - G (x) = x * x-2x-3. The analytic expressions of F (x) and G (x) are obtained

Substituting x = 1, - 1 into f (x) g (x)
The formula F (1) - G (1) = - 41 is obtained
F (- 1) - G (- 1) = 0.2
Because the function f (x) is odd and G (x) is even
So g (1) = g (- 1) f (1) = - f (- 1)
That is f (1) - G (- 1) = - 4 3
From formula 3-2, f (1) - f (- 1) = - 4, f (1) = - 2
From Formula 1, G (1) = 2
Because the function f (x) is odd and G (x) is even
f（x）=-2x g（x）=-x*x+3