{"id":3535,"date":"2025-02-28T20:35:56","date_gmt":"2025-02-28T20:35:56","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3535"},"modified":"2025-03-08T08:58:50","modified_gmt":"2025-03-08T08:58:50","slug":"funcion-escondida","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/02\/28\/funcion-escondida\/","title":{"rendered":"Funci\u00f3n escondida"},"content":{"rendered":"<pre>Problema 2 de la Fase Provincial de la Olimpiada de Matem\u00e1ticas de la Comunidad Valenciana(2024)\nSe dirige a una edad de: 14-15 a\u00f1os\n<\/pre>\nSea f(x) una funci\u00f3n real de variable real que cumple la siguiente igualdad para cualquier x:\n\n<!-- \/wp:post-content -->\n\n<!-- wp:paragraph -->\n\nf(x) + f(1\/(1 \u2013 x)) = x\n\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n\nEncuentra f(x).\n\n<!-- \/wp:paragraph -->\n\n<!-- wp:image {\"id\":3536,\"sizeSlug\":\"full\",\"linkDestination\":\"none\"} -->\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" class=\"wp-image-3536\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2025\/02\/376.Funcion.png\" alt=\"\" \/><\/figure>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/03\/08\/solucion-a-funcion-escondida\/\">Aqu\u00ed<\/a>.\n\n<!-- \/wp:image -->","protected":false},"excerpt":{"rendered":"<p>Problema 2 de la Fase Provincial de la Olimpiada de Matem\u00e1ticas de la Comunidad Valenciana(2024) Se dirige a una edad de: 14-15 a\u00f1os Sea f(x) una funci\u00f3n real de variable real que cumple la siguiente igualdad para cualquier x: f(x) + f(1\/(1 \u2013 x)) = x Encuentra f(x). Soluci\u00f3n: Aqu\u00ed.<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242028,2242020,1738,2849],"tags":[],"class_list":["post-3535","post","type-post","status-publish","format-standard","hentry","category-comunidadvalenciana","category-olimpiada-de-la-comunidad-valenciana","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3535"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3535\/revisions"}],"predecessor-version":[{"id":3542,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3535\/revisions\/3542"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}