您好、我想请问一道题目:函数f(x)的定义域D={x|x≠0},任意x1x2∈D有f(x1·x2)=f(x1)+f(x2)该函数为奇函数、f(1)=f(-1)=0、f(x)在(0,+∞)上递增我都证明出来了,现在问题是:在f(x)在(0,+∞)上递增的
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/31 09:07:10
![您好、我想请问一道题目:函数f(x)的定义域D={x|x≠0},任意x1x2∈D有f(x1·x2)=f(x1)+f(x2)该函数为奇函数、f(1)=f(-1)=0、f(x)在(0,+∞)上递增我都证明出来了,现在问题是:在f(x)在(0,+∞)上递增的](/uploads/image/z/10762198-70-8.jpg?t=%E6%82%A8%E5%A5%BD%E3%80%81%E6%88%91%E6%83%B3%E8%AF%B7%E9%97%AE%E4%B8%80%E9%81%93%E9%A2%98%E7%9B%AE%EF%BC%9A%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9FD%3D%7Bx%7Cx%E2%89%A00%7D%2C%E4%BB%BB%E6%84%8Fx1x2%E2%88%88D%E6%9C%89f%28x1%C2%B7x2%29%3Df%28x1%29%2Bf%28x2%29%E8%AF%A5%E5%87%BD%E6%95%B0%E4%B8%BA%E5%A5%87%E5%87%BD%E6%95%B0%E3%80%81f%281%29%3Df%28-1%29%3D0%E3%80%81f%28x%29%E5%9C%A8%EF%BC%880%2C%2B%E2%88%9E%EF%BC%89%E4%B8%8A%E9%80%92%E5%A2%9E%E6%88%91%E9%83%BD%E8%AF%81%E6%98%8E%E5%87%BA%E6%9D%A5%E4%BA%86%2C%E7%8E%B0%E5%9C%A8%E9%97%AE%E9%A2%98%E6%98%AF%EF%BC%9A%E5%9C%A8f%28x%29%E5%9C%A8%EF%BC%880%2C%2B%E2%88%9E%EF%BC%89%E4%B8%8A%E9%80%92%E5%A2%9E%E7%9A%84)
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