问题标题:
llllllllllllllllllllllllllllllllllllllllllllllllll(1811:40:56)已知函数f(X)=ax+b,若f(0)=1,且f(x+1)=f(x+1)=f(x)+3,求f(x).
问题描述:
llllllllllllllllllllllllllllllllllllllllllllllllll(1811:40:56)
已知函数f(X)=ax+b,若f(0)=1,且f(x+1)=f(x+1)=f(x)+3,求f(x).
李明利回答:
将f(0)带进去得到b=1,则f(x+1)=a(x+1)+1,f(x)+3=ax+4
又f(x+1)=f(x)+3,即a(x+1)+1=ax+4化简得到a=3
所以f(x)=3x+1
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