{"type":"rich","description":"functional equations - Finding a function $h$ that satisfies $h \\left ( \\frac{x}{x^2+h(x)} \\right )=1$ - Mathematics Stack Exchange \u3088\u308a\u3002$$ \\begin{align*} h \\left( \\frac{x}{x^2 + h(x)} \\right) = 1 \\tag{1} \\end{align*} $$ $h(x) \\neq \\text{constant}$ $\\exists \\frac{dh}{dx}$ $\\exists h^{-1}(x)$ $\\exists \u2026","title":"\u518d\u5e30\u7684\u306a\u65b9\u7a0b\u5f0f","width":"100%","author_name":"derwind","author_url":"https://blog.hatena.ne.jp/derwind/","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","provider_url":"https://hatena.blog","image_url":null,"height":"190","provider_name":"Hatena Blog","categories":["math-other"],"version":"1.0","published":"2022-03-26 18:14:32","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2022%2F03%2F26%2F181432\" title=\"\u518d\u5e30\u7684\u306a\u65b9\u7a0b\u5f0f - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","url":"https://randommemory.hatenablog.com/entry/2022/03/26/181432","blog_url":"https://randommemory.hatenablog.com/"}