{"id":11825,"date":"2014-02-26T14:53:40","date_gmt":"2014-02-26T14:53:40","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11825"},"modified":"2022-01-11T23:46:08","modified_gmt":"2022-01-11T23:46:08","slug":"dadas-as-funcoes-f-e-g","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11825","title":{"rendered":"Dadas as fun\u00e7\u00f5es $f$ e $g$"},"content":{"rendered":"<p><ul id='GTTabs_ul_11825' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11825' class='GTTabs_curr'><a  id=\"11825_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11825' ><a  id=\"11825_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_11825'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Dadas as fun\u00e7\u00f5es $f$ e $g$ definidas por: \\[\\begin{array}{*{20}{c}}<br \/>\n{f\\left( x \\right) = 2x + 3}&amp;{\\text{e}}&amp;{g\\left( x \\right) =\u00a0 &#8211; {x^2} + 5}<br \/>\n\\end{array}\\] determine:<\/p>\n<ol>\n<li>$\\left( {f \\circ f} \\right)\\left( 1 \\right)$<\/li>\n<li>$\\left( {g \\circ g} \\right)\\left( 2 \\right)$<\/li>\n<li>$\\left( {f \\circ g} \\right)\\left( 2 \\right)$<\/li>\n<li>$\\left( {g \\circ f} \\right)\\left( 2 \\right)$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11825' onClick='GTTabs_show(1,11825)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11825'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>\\[\\begin{array}{*{20}{c}} \u00a0 {f\\left( x \\right) = 2x + 3}&amp;{\\text{e}}&amp;{g\\left( x \\right) =\u00a0 &#8211; {x^2} + 5} \\end{array}\\]<\/p>\n<\/blockquote>\n<ol>\n<li>$\\left( {f \\circ f} \\right)\\left( 1 \\right) = f\\left( {f\\left( 1 \\right)} \\right) = f\\left( {2 \\times 1 + 3} \\right) = f\\left( 5 \\right) = 2 \\times 5 + 3 = 13$<br \/>\n\u00ad<\/li>\n<li>$\\left( {g \\circ g} \\right)\\left( 2 \\right) = g\\left( {g\\left( 2 \\right)} \\right) = g\\left( { &#8211; {2^2} + 5} \\right) = g\\left( 1 \\right) =\u00a0 &#8211; {1^2} + 5 = 4$<br \/>\n\u00ad<\/li>\n<li>$\\left( {f \\circ g} \\right)\\left( 2 \\right) = f\\left( {g\\left( 2 \\right)} \\right) = f\\left( { &#8211; {2^2} + 5} \\right) = f\\left( 1 \\right) = 2 \\times 1 + 3 = 5$<br \/>\n\u00ad<\/li>\n<li>$\\left( {g \\circ f} \\right)\\left( 2 \\right) = g\\left( {f\\left( 2 \\right)} \\right) = g\\left( {2 \\times 2 + 3} \\right) = g\\left( 7 \\right) =\u00a0 &#8211; {7^2} + 5 =\u00a0 &#8211; 44$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11825' onClick='GTTabs_show(0,11825)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Dadas as fun\u00e7\u00f5es $f$ e $g$ definidas por: \\[\\begin{array}{*{20}{c}} {f\\left( x \\right) = 2x + 3}&amp;{\\text{e}}&amp;{g\\left( x \\right) =\u00a0 &#8211; {x^2} + 5} \\end{array}\\] determine: $\\left( {f \\circ f} \\right)\\left( 1&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14083,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,153],"tags":[422,154],"series":[],"class_list":["post-11825","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-funcao-composta","tag-11-o-ano","tag-funcao-composta-2"],"views":1660,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat28.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11825","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=11825"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11825\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14083"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11825"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11825"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11825"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11825"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}