{"id":6698,"date":"2011-04-05T18:33:00","date_gmt":"2011-04-05T17:33:00","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6698"},"modified":"2022-01-14T18:19:03","modified_gmt":"2022-01-14T18:19:03","slug":"caracterize-a-funcao-inversa","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6698","title":{"rendered":"Caracterize a fun\u00e7\u00e3o inversa"},"content":{"rendered":"<p><ul id='GTTabs_ul_6698' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6698' class='GTTabs_curr'><a  id=\"6698_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6698' ><a  id=\"6698_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<li id='GTTabs_li_2_6698' ><a  id=\"6698_2\" onMouseOver=\"GTTabsShowLinks('Gr\u00e1ficos'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Gr\u00e1ficos<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_6698'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Caracterize a fun\u00e7\u00e3o inversa das seguintes fun\u00e7\u00f5es de vari\u00e1vel real:<\/p>\n<ol>\n<li>$x\\to f(x)=3x+2$<\/li>\n<li>$x\\to g(x)=\\frac{2-x}{x}$<\/li>\n<li>$x\\to h(x)=\\frac{x-5}{x+2}$<\/li>\n<li>$x\\to i(x)={{x}^{3}}-3$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6698' onClick='GTTabs_show(1,6698)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6698'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Ora, ${{D}_{f}}=\\mathbb{R}$ e ${{D}_{f}}&#8217;=\\mathbb{R}$.<br \/>\n\\[y=3x+2\\Leftrightarrow 3x=y-2\\Leftrightarrow x=\\frac{1}{3}y-\\frac{2}{3}\\]<br \/>\nLogo, \\[\\begin{array}{*{35}{l}}<br \/>\n{{f}^{-1}}: &amp; \\mathbb{R}\\to \\mathbb{R}\u00a0 \\\\<br \/>\n{} &amp; x\\to \\frac{1}{3}x-\\frac{2}{3}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/li>\n<li>Ora, ${{D}_{g}}=\\mathbb{R}\\backslash \\left\\{ 0 \\right\\}$ e ${{D}_{g}}&#8217;=\\mathbb{R}\\backslash \\left\\{ -1 \\right\\}$ (note que $g(x)=\\frac{2-x}{x}=-1+\\frac{2}{x}$).<br \/>\n\\[y=\\frac{2-x}{x}\\Leftrightarrow yx=2-x\\Leftrightarrow x(y+1)=2\\Leftrightarrow x=\\frac{2}{y+1}\\]<br \/>\nLogo, \\[\\begin{array}{*{35}{l}}<br \/>\n{{g}^{-1}}: &amp; \\mathbb{R}\\backslash \\left\\{ -1 \\right\\}\\to \\mathbb{R}\\backslash \\left\\{ 0 \\right\\}\u00a0 \\\\<br \/>\n{} &amp; x\\to \\frac{2}{x+1}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/li>\n<li>Ora, ${{D}_{h}}=\\mathbb{R}\\backslash \\left\\{ -2 \\right\\}$ e ${{D}_{h}}&#8217;=\\mathbb{R}\\backslash \\left\\{ 1 \\right\\}$ (note que $h(x)=\\frac{x-5}{x+2}=\\frac{x+2-7}{x+2}=1-\\frac{7}{x+2}$).<br \/>\n\\[y=\\frac{x-5}{x+2}\\Leftrightarrow yx+2y=x-5\\Leftrightarrow x(y-1)=-2y-5\\Leftrightarrow x=\\frac{2y+5}{1-y}\\]<br \/>\nLogo, \\[\\begin{array}{*{35}{l}}<br \/>\n{{h}^{-1}}: &amp; \\mathbb{R}\\backslash \\left\\{ 1 \\right\\}\\to \\mathbb{R}\\backslash \\left\\{ -2 \\right\\}\u00a0 \\\\<br \/>\n{} &amp; x\\to \\frac{2x+5}{1-x}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/li>\n<li>Ora, ${{D}_{i}}=\\mathbb{R}$ e ${{D}_{i}}&#8217;=\\mathbb{R}$.<br \/>\n\\[y={{x}^{3}}-3\\Leftrightarrow {{x}^{3}}=y+3\\Leftrightarrow x=\\sqrt[3]{y+3}\\]<br \/>\nLogo, \\[\\begin{array}{*{35}{l}}<br \/>\n{{i}^{-1}}: &amp; \\mathbb{R}\\to \\mathbb{R}\u00a0 \\\\<br \/>\n{} &amp; x\\to \\sqrt[3]{x+3}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6698' onClick='GTTabs_show(0,6698)'>&lt;&lt; Enunciado<\/a><\/span><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6698' onClick='GTTabs_show(2,6698)'>Gr\u00e1ficos &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_2_6698'>\n<span class='GTTabs_titles'><b>Gr\u00e1ficos<\/b><\/span><\/p>\n<p style=\"text-align: center;\"><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":738,\r\n\"height\":436,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6\",\r\n\"showToolBarHelp\":false,\r\n\"showResetIcon\":true,\r\n\"enableLabelDrags\":false,\r\n\"enableShiftDragZoom\":false,\r\n\"enableRightClick\":false,\r\n\"errorDialogsActive\":false,\r\n\"useBrowserForJS\":false,\r\n\"preventFocus\":false,\r\n\"showFullscreenButton\":true,\r\n\"language\":\"pt\",\r\n\/\/ use this instead of ggbBase64 to load a material from GeoGebraTube\r\n\/\/ \"material_id\":12345,\r\n\"ggbBase64\":\"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\"};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator, DA=Data Analysis, FI=Function Inspector, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\n<\/script><\/p>\n<p style=\"text-align: left;\">Qual \u00e9 a rela\u00e7\u00e3o entre as coordenadas de pontos sim\u00e9tricos relativamente ao eixo de simetria de equa\u00e7\u00e3o $y=x$?<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6698' onClick='GTTabs_show(1,6698)'>&lt;&lt; Resolu\u00e7\u00e3o<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Caracterize a fun\u00e7\u00e3o inversa das seguintes fun\u00e7\u00f5es de vari\u00e1vel real: $x\\to f(x)=3x+2$ $x\\to g(x)=\\frac{2-x}{x}$ $x\\to h(x)=\\frac{x-5}{x+2}$ $x\\to i(x)={{x}^{3}}-3$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19234,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,155],"tags":[156],"series":[],"class_list":["post-6698","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-funcao-inversa","tag-funcao-inversa-2"],"views":11151,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat76.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6698","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=6698"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6698\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19234"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6698"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6698"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6698"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6698"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}