{"id":493,"date":"2018-04-22T07:22:52","date_gmt":"2018-04-22T07:22:52","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=493"},"modified":"2018-04-29T17:45:58","modified_gmt":"2018-04-29T17:45:58","slug":"ecuacion-con-funciones","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2018\/04\/22\/ecuacion-con-funciones\/","title":{"rendered":"Ecuaci\u00f3n con funciones"},"content":{"rendered":"<pre>Problema 3 de la Fase Local (viernes) de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2018)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Encuentra todas las funciones reales de variable real que cumplen, para cualquier par de valores x e y, la igualdad siguiente:<\/p>\n<p style=\"text-align: center\">f(x + f(x + y)) = f(2x) + y<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-494\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/04\/39.Ecuacionconfunciones.png\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/04\/39.Ecuacionconfunciones.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2018\/04\/39.Ecuacionconfunciones-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2018\/04\/28\/solucion-a-ecuacion-con-funciones\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 3 de la Fase Local (viernes) de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2018) Se dirige a una edad de: 16-17 a\u00f1os Encuentra todas las funciones reales de variable real que cumplen, para cualquier par de valores x e y, la igualdad siguiente: f(x + f(x + y)) = f(2x) + y 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":[1738,2849],"tags":[],"class_list":["post-493","post","type-post","status-publish","format-standard","hentry","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/493","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=493"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/493\/revisions"}],"predecessor-version":[{"id":507,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/493\/revisions\/507"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}