由f(a+b)=f(a)f(b)得:f(x-3)=f(x)f(-3)
f(5-x2)=f(-2x)f(5) ∴f(x-3)×f(5-x2)==f(x)f(-3)f(-2x)f(5﹚
=f(-x)f﹙2﹚
1/4=f(4)4 f(4)=f(2+2)=f(2)*f(2) f(4)=1/16∴f(2)≡1/4或-1/4
①当f(2)≡1/4,f(-x)≦4*f(2)
∴f(-x)≦1,无解
②当f(2)≡-1/4,f(-x)≧1-----------------x>0
综上所述,x>0
设a=b=2 f(2+2)=f(4)=f(2)f(2)=1/16 f (2)=+-1/4 有条件知f(2)=1/4 f(x-3)×f(5-x2)=f(x-3+5-x2)=1/4
x-3+5-x2>=0 -1<=x<=2