设f(x)=ax+bsin3x+1,(a,b为常数),且f(5)=7,则f(-5)=_.

问题描述:

设f(x)=ax+bsin3x+1,(a,b为常数),且f(5)=7,则f(-5)=______.

f(5)=5a+bsin35+1=7,则5a+bsin35=6,
又f(-5)=-5a-bsin35+1=-6+1=-5
故答案为:-5