已知函数f(X+1)为奇函数,函数f(X-1)为偶函数,且f(0)=2,则f(4)=?参看答案这样说:因为f(X-1)=f(-X-1)所以f(0)=f(-2)=2【问题:f(-2)是怎样来的】由f(X+1)=-f(-X-1)得f(4)=-f(-2)=-2【问题:-f(-2)是怎么来的】
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![已知函数f(X+1)为奇函数,函数f(X-1)为偶函数,且f(0)=2,则f(4)=?参看答案这样说:因为f(X-1)=f(-X-1)所以f(0)=f(-2)=2【问题:f(-2)是怎样来的】由f(X+1)=-f(-X-1)得f(4)=-f(-2)=-2【问题:-f(-2)是怎么来的】](/uploads/image/z/2836305-9-5.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28X%2B1%29%E4%B8%BA%E5%A5%87%E5%87%BD%E6%95%B0%2C%E5%87%BD%E6%95%B0f%28X-1%29%E4%B8%BA%E5%81%B6%E5%87%BD%E6%95%B0%2C%E4%B8%94f%280%29%3D2%2C%E5%88%99f%284%29%3D%3F%E5%8F%82%E7%9C%8B%E7%AD%94%E6%A1%88%E8%BF%99%E6%A0%B7%E8%AF%B4%EF%BC%9A%E5%9B%A0%E4%B8%BAf%28X-1%29%3Df%28-X-1%29%E6%89%80%E4%BB%A5f%280%29%3Df%28-2%29%3D2%E3%80%90%E9%97%AE%E9%A2%98%EF%BC%9Af%28-2%29%E6%98%AF%E6%80%8E%E6%A0%B7%E6%9D%A5%E7%9A%84%E3%80%91%E7%94%B1f%28X%2B1%29%3D-f%28-X-1%29%E5%BE%97f%284%29%3D-f%28-2%29%3D-2%E3%80%90%E9%97%AE%E9%A2%98%EF%BC%9A-f%28-2%29%E6%98%AF%E6%80%8E%E4%B9%88%E6%9D%A5%E7%9A%84%E3%80%91)
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