{"id":11809,"date":"2014-02-24T14:48:43","date_gmt":"2014-02-24T14:48:43","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11809"},"modified":"2022-01-21T16:18:56","modified_gmt":"2022-01-21T16:18:56","slug":"uma-funcao-quadratica-e-uma-funcao-afim","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11809","title":{"rendered":"Uma fun\u00e7\u00e3o quadr\u00e1tica e uma fun\u00e7\u00e3o afim"},"content":{"rendered":"<p><ul id='GTTabs_ul_11809' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11809' class='GTTabs_curr'><a  id=\"11809_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11809' ><a  id=\"11809_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_11809'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11810\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11810\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\" data-orig-size=\"509,415\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1393253431&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Gr\u00e1ficos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\" class=\"alignright  wp-image-11810\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\" alt=\"Gr\u00e1ficos\" width=\"305\" height=\"249\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg 509w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12-300x244.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12-150x122.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12-400x326.jpg 400w\" sizes=\"auto, (max-width: 305px) 100vw, 305px\" \/><\/a>Na figura est\u00e3o representadas:<\/p>\n<ul>\n<li>parte do gr\u00e1fico de uma fun\u00e7\u00e3o quadr\u00e1tica $f$;<\/li>\n<li>parte do gr\u00e1fico de uma fun\u00e7\u00e3o afim $g$.<\/li>\n<\/ul>\n<p>Determine o dom\u00ednio de cada uma das seguintes fun\u00e7\u00f5es:\u00a0$\\frac{f}{g}$ e $\\frac{g}{f}$.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11809' onClick='GTTabs_show(1,11809)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11809'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11810\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11810\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\" data-orig-size=\"509,415\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1393253431&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Gr\u00e1ficos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\" class=\"alignright  wp-image-11810\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg\" alt=\"Gr\u00e1ficos\" width=\"305\" height=\"249\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12.jpg 509w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12-300x244.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12-150x122.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-127-12-400x326.jpg 400w\" sizes=\"auto, (max-width: 305px) 100vw, 305px\" \/><\/a><\/p>\n<blockquote>\n<p>Na figura est\u00e3o representadas:<\/p>\n<ul>\n<li>parte do gr\u00e1fico de uma fun\u00e7\u00e3o quadr\u00e1tica $f$;<\/li>\n<li>parte do gr\u00e1fico de uma fun\u00e7\u00e3o afim $g$.<\/li>\n<\/ul>\n<p>Determine o dom\u00ednio de cada uma das seguintes fun\u00e7\u00f5es:\u00a0$\\frac{f}{g}$ e $\\frac{g}{f}$.<\/p>\n<\/blockquote>\n<p>\u00ad<\/p>\n<p>\\[{D_{\\frac{f}{g}}} = {D_f} \\cap {D_g} \\cap \\left\\{ {x \\in \\mathbb{R}:g\\left( x \\right) \\ne 0} \\right\\} = \\mathbb{R} \\cap \\mathbb{R} \\cap \\mathbb{R}\\backslash \\left\\{ { &#8211; 2} \\right\\} = \\mathbb{R}\\backslash \\left\\{ { &#8211; 2} \\right\\}\\]<\/p>\n<p>\\[{D_{\\frac{g}{f}}} = {D_g} \\cap {D_f} \\cap \\left\\{ {x \\in \\mathbb{R}:f\\left( x \\right) \\ne 0} \\right\\} = \\mathbb{R} \\cap \\mathbb{R} \\cap \\mathbb{R}\\backslash \\left\\{ { &#8211; 4,0} \\right\\} = \\mathbb{R}\\backslash \\left\\{ { &#8211; 4,0} \\right\\}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11809' onClick='GTTabs_show(0,11809)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura est\u00e3o representadas: parte do gr\u00e1fico de uma fun\u00e7\u00e3o quadr\u00e1tica $f$; parte do gr\u00e1fico de uma fun\u00e7\u00e3o afim $g$. Determine o dom\u00ednio de cada uma das seguintes fun\u00e7\u00f5es:\u00a0$\\frac{f}{g}$ e $\\frac{g}{f}$.&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20823,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,147],"tags":[422,364],"series":[],"class_list":["post-11809","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-operacoes-com-funcoes","tag-11-o-ano","tag-funcao-quociente"],"views":2929,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11V2Pag127-12_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11809","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11809"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11809\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20823"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11809"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11809"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11809"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11809"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}