已知定义域为R的函数y=f(x)和y=g(x),他们分别满足条件:对任意a,b E R,都有f(a+b)=f(a)+f(b);对任意a,b E R,都有g(a+b)=g(a).g(b),且对任意x>0,(1)求f(0).g(0)的值; (2)证明函数y=f(x)是奇函数;3 证明x
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![已知定义域为R的函数y=f(x)和y=g(x),他们分别满足条件:对任意a,b E R,都有f(a+b)=f(a)+f(b);对任意a,b E R,都有g(a+b)=g(a).g(b),且对任意x>0,(1)求f(0).g(0)的值; (2)证明函数y=f(x)是奇函数;3 证明x](/uploads/image/z/9301262-14-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BAR%E7%9A%84%E5%87%BD%E6%95%B0y%3Df%28x%29%E5%92%8Cy%3Dg%28x%29%2C%E4%BB%96%E4%BB%AC%E5%88%86%E5%88%AB%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%EF%BC%9A%E5%AF%B9%E4%BB%BB%E6%84%8Fa%2Cb+E+R%2C%E9%83%BD%E6%9C%89f%28a%2Bb%29%3Df%28a%29%2Bf%28b%29%3B%E5%AF%B9%E4%BB%BB%E6%84%8Fa%2Cb+E+R%2C%E9%83%BD%E6%9C%89g%28a%2Bb%29%3Dg%28a%29.g%28b%29%2C%E4%B8%94%E5%AF%B9%E4%BB%BB%E6%84%8Fx%3E0%2C%281%29%E6%B1%82f%280%29.g%280%29%E7%9A%84%E5%80%BC%EF%BC%9B+%EF%BC%882%EF%BC%89%E8%AF%81%E6%98%8E%E5%87%BD%E6%95%B0y%3Df%28x%29%E6%98%AF%E5%A5%87%E5%87%BD%E6%95%B0%EF%BC%9B3+%E8%AF%81%E6%98%8Ex)
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