2f(x)+3f(-x)=x^2+x①
取x为-x得
2f(-x)+3f(x)=(-x)^2-x
2f(-x)+3f(x)=x^2-x②
①*2-②*3得
[4f(x)+6f(-x)]-[6f(-x)+9f(x)]=2x^2+2x-3x^2+3x
-5f(x)=-x^2+5x
f(x)=(1/5)x^2-x
2f(x)+3f(-x)=x^2+x①
取x为-x得
2f(-x)+3f(x)=(-x)^2-x
2f(-x)+3f(x)=x^2-x②
①*2-②*3得
[4f(x)+6f(-x)]-[6f(-x)+9f(x)]=2x^2+2x-3x^2+3x
-5f(x)=-x^2+5x
f(x)=(1/5)x^2-x