题目内容
11.已知f(x)=$\left\{\begin{array}{l}{{x}^{2}+3,(x>0)}\\{1,(x=0)}\\{x+4(x<0)}\end{array}\right.$,则f(f(f(-4)))=4.分析 由已知中f(x)=$\left\{\begin{array}{l}{{x}^{2}+3,(x>0)}\\{1,(x=0)}\\{x+4(x<0)}\end{array}\right.$,将x=-4代入可得答案.
解答 解:∵f(x)=$\left\{\begin{array}{l}{{x}^{2}+3,(x>0)}\\{1,(x=0)}\\{x+4(x<0)}\end{array}\right.$,
∴f(-4)=0,
f(f(-4))=f(0)=1,
f(f(f(-4)))=f(1)=4,
故答案为:4.
点评 本题考查的知识点是分段函数的应用,函数求值,难度不大,属于基础题.
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