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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).
数学人气:262 ℃时间:2020-04-28 00:40:22
优质解答
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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