1.試求多項式p(x),使其滿足p(x^2+1)=(p(x))^2 + 1,且p(0)=0
2.試求連續函數f使得f(x)=cos(x/2)×f(x/2),且f(0)=1
3.函數f(x)為實變數函數,若對任意實數a,b,f(a+b)=f(ab)且f(1/2)= -1/2,求f(x)
galaxylee 寫到:1.試求多項式p(x),使其滿足p(x^2+1)=(p(x))^2 + 1,且p(0)=0
galaxylee 寫到:
3.函數f(x)為實變數函數,若對任意實數a,b,f(a+b)=f(ab)且f(1/2)= -1/2,求f(x)