1. If f (x) satisfies f (x) + 2F (- x) = x & # 178; + 5x + 9, find f (x) 2. It is known that f (x + 1) = x & # 178; - 5x + 3 (1) Find the values of F (2) and f (a); (2) Finding the analytic expressions of F (x) and f (x-1) Solve these two problems

1. If f (x) satisfies f (x) + 2F (- x) = x & # 178; + 5x + 9, find f (x) 2. It is known that f (x + 1) = x & # 178; - 5x + 3 (1) Find the values of F (2) and f (a); (2) Finding the analytic expressions of F (x) and f (x-1) Solve these two problems

f(x)+2f(-x)=x²+5x+9
Then f (- x) + 2F (x) = x & # 178; - 5x + 9
The solution is f (x) = 1 / 3x & # 178; - 5x + 3
2、f(x+1)=x²-5X+3=(x^2+2x+1)-7(x+1)+9=(x+1)^2-7(x+1)+9
Then f (x) = x ^ 2-7x + 9
f(2)=4-14+9=1
f(a)=a^2-7a+9
f(x-1)=(x-1)^2-7(x-1)+9=x^2-9x+17