{"id":8,"date":"2023-09-17T11:15:57","date_gmt":"2023-09-17T11:15:57","guid":{"rendered":"https:\/\/mathority.org\/id\/fungsi-irasional-atau-radikal\/"},"modified":"2023-09-17T11:15:57","modified_gmt":"2023-09-17T11:15:57","slug":"fungsi-irasional-atau-radikal","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/fungsi-irasional-atau-radikal\/","title":{"rendered":"Fungsi irasional atau fungsi radikal"},"content":{"rendered":"<p>Halaman ini menjelaskan apa itu fungsi irasional disebut juga fungsi radikal, serta semua ciri-ciri dari jenis fungsi tersebut. Anda juga akan menemukan cara menghitung domain fungsi radikal atau irasional dan, sebagai tambahan, Anda akan dapat melihat cara merepresentasikannya dalam grafik dengan contoh dan latihan dengan latihan dan masalah yang diselesaikan langkah demi langkah. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-irracional-o-radical\"><\/span> Apa yang dimaksud dengan fungsi irasional (atau radikal)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fungsi irasional memiliki arti yang sama dengan fungsi radikal dan oleh karena itu, keduanya memiliki definisi yang sama: <\/p>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> <strong>Fungsi irasional<\/strong> , disebut juga <strong>fungsi radikal<\/strong> , adalah fungsi yang mempunyai variabel bebas x di bawah lambang akar.<\/p>\n<\/div>\n<p> Seperti yang sudah kita ketahui, hasil root bisa positif atau negatif. Jadi representasi fungsi irasional (atau radikal) memiliki dua kemungkinan kurva: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-irrationnelles-ou-radicales.webp\" alt=\"contoh fungsi irasional atau radikal\" class=\"wp-image-177\" width=\"430\" height=\"366\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Tetapi jika tandanya tidak ditentukan, maka fungsi positif seharusnya diwakili.<\/p>\n<p> Di sisi lain, fungsi irasional tidak sama dengan fungsi rasional. Meskipun keduanya memiliki nama yang sangat mirip, keduanya memiliki jenis fungsi yang sangat berbeda. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"dominio-de-una-funcion-irracional-o-radical\"><\/span> Domain fungsi irasional atau radikal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Domain suatu fungsi dengan akar bergantung pada paritas indeks akar, yaitu bergantung pada apakah indeks radikalnya genap atau ganjil. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"dominio-de-una-funcion-con-raiz-de-indice-par\"><\/span> Domain suatu fungsi dengan akar indeks genap<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Seperti yang Anda ketahui, tidak ada akar (indeks genap) dari bilangan negatif. Oleh karena itu, <strong>fungsi radikal dengan indeks genap akan ada selama isinya sama dengan atau lebih besar dari 0.<\/strong><\/p>\n<p> Sebagai contoh, mari kita lihat bagaimana domain dari fungsi radikal atau irasional berikut dihitung:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-624a36ddc41727915170ad84e04af5f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ini adalah fungsi indeks genap radikal, jadi kita harus melihat kapan isinya positif atau nol <strong>:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6f54cf39cf142946b7fb5d6066009c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-4\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"73\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Kami menyelesaikan pertidaksamaan:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bdacfb2a15271cdd2fb04176f683713_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge 4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"43\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Jadi fungsi tersebut akan ada setiap kali x lebih besar atau sama dengan 4, dan ditunjukkan dengan interval berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-87a6beff3b91d11f1d2dc420d6dace7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f= [4,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"dominio-de-una-funcion-con-raiz-de-indice-impar\"><\/span> Domain suatu fungsi dengan akar indeks ganjil<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Fungsi irasional dengan indeks ganjil tidak mempunyai masalah ini, karena akar indeks ganjil dari bilangan negatif ada:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c3abab45564c61124c12eb0ffa89b7fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{-8}=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"82\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, fungsi radikal dari indeks ganjil ada untuk nilai <em>x<\/em> apa pun. Atau dengan kata lain <strong>domain hanya terdiri dari bilangan real saja<\/strong> .<\/p>\n<p> Misalnya, kita akan menghitung domain definisi fungsi radikal berikut yang indeksnya ganjil:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-65987eff0c48ff229a59c03e8164c3df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[3]{3x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"124\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Karena merupakan fungsi irasional dengan indeks ganjil, domainnya terdiri dari bilangan real: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4f565027fd5d2a4381e3a23d183c9f76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-representar-una-funcion-irracional-o-radical\"><\/span> Bagaimana merepresentasikan fungsi yang irasional atau radikal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Mari kita lihat cara merepresentasikan fungsi dengan akar pada grafik menggunakan sebuah contoh.<\/p>\n<ul>\n<li> Gambarkan fungsi radikal atau irasional berikut pada grafik:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2643f318c5e502f2d6827ec22d20f6c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Hal pertama yang harus dilakukan adalah mencari domain dari fungsi tersebut. Karena bilangan tersebut adalah akar kuadrat, maka apa pun yang ada di dalamnya harus positif, karena tidak ada akar kuadrat dari bilangan negatif. Oleh karena itu, fungsi radikal akan tetap ada selama kandungannya sama atau lebih besar dari 0:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1ebfe7e55e1e5753b26b6db52894aae5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+2\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"73\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db8c8201f5940b1d818d122820973504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge -2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Jadi, domain fungsi tersebut terdiri dari semua bilangan yang lebih besar atau sama dengan -2. Artinya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd7f6030f8b7a92cdcc6b7f9dbb34d16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = [-2,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Setelah kita mengetahui domain fungsinya, kita membuat tabel nilai. Jelasnya, semakin banyak poin yang kita hitung, semakin tepat representasi fungsinya. Namun menghitung 3 atau 4 poin dalam interval domain sudah cukup: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-307\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3c3800751119915b939b96fe53b0a62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -2 \\ \\longrightarrow \\ f(-2)=\\sqrt{-2+2}= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"278\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77f388ade5bdbca831436e5786a04c02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 \\ \\longrightarrow \\ f(-1)=\\sqrt{-1+2}= 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"277\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30da4ca4b03a3f86d0bf78f951418371_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=\\sqrt{2+2}= 2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a515902ef92cb39fa2cdcddba8195174_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 7 \\ \\longrightarrow \\ f(7)=\\sqrt{7+2}= 3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c72f72e58a4aa07f85403ae5717df70c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline -2 &amp; 0 \\\\ -1 &amp; 1 \\\\ 2 &amp; 2 \\\\ 7 &amp; 3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"90\" style=\"vertical-align: -51px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> Kami sekarang mewakili titik-titik yang diperoleh pada grafik <strong>:<\/strong> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-representer-une-fonction-radicale-ou-irrationnelle.webp\" alt=\"bagaimana merepresentasikan fungsi radikal atau irasional\" class=\"wp-image-178\" width=\"460\" height=\"249\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Dan terakhir, kita gabungkan titik-titiknya dan perpanjang kurvanya untuk menunjukkan bahwa fungsinya terus bertambah: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-representation-graphique-d-une-fonction-radicale-ou-irrationnelle.webp\" alt=\"contoh representasi grafis dari fungsi radikal atau irasional\" class=\"wp-image-179\" width=\"460\" height=\"251\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-irracionales-o-radicales\"><\/span>Latihan terpecahkan tentang fungsi irasional atau radikal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Temukan domain dari fungsi radikal berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5227797e1a51357e63fe97f3be067f96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{3x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"64\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Akar kuadrat dari bilangan negatif tidak ada. Oleh karena itu, fungsi tersebut akan ada jika argumen akarnya positif atau nol: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c62658062f5e3d6cb16c0ee363bbd93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x+6 \\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"82\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7daaaaa8dbd463d1fd48238c117d907a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x \\ge -6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"66\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f260f939524d3b3ebc56682e50ea20d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x \\ge \\cfrac{-6}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-618af1663a2fcefe0c8e7e008636a5dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x \\ge -2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-962c0025662fc501e1896d80160964a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = [-2,+\\infty)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 2<\/h3>\n<p> Temukan domain dari fungsi irasional berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78ebc335a724fd652684605114abf8b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{-x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"69\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Akar kuadrat suatu bilangan negatif tidak mempunyai penyelesaian nyata. Oleh karena itu, fungsi tersebut akan tetap ada selama isi akarnya positif atau nol: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33a4820b3d1a0ba845425a092bbc9382_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x+2\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"86\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d0d57b00f0f063ba60525c7bb003c93c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\\ge -2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"69\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-007ba44659e7cdccd6ee0d929da8891c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\le\\cfrac{-2}{-1}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"98\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Ingatlah bahwa jika dalam suatu pertidaksamaan kita mengubah sisi suatu bilangan negatif yang dikalikan atau dibagi, kita juga harus memutar tanda pertidaksamaannya tersebut. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76d696873565b2fde467626265440add_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\le2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"42\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6fcd2f8dbe5bf6b1804f522f82984da6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = (-\\infty,2]}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 3<\/h3>\n<p> Gambarkan fungsi irasional berikut pada grafik: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42e79b66433070221b9b45119683a97f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\sqrt{x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Pertama-tama, kita harus menghitung domain dari fungsi tersebut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e968b1016def57c4944997419ec6300_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-1\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"73\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f077fdba5fb39bebecba8de762e4880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge 1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"42\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-35d3f547259a5d3839f9d66a31e485ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = [1,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita membuat array nilai dengan memberikan nilai fungsi dalam rentang domain: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-310\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce58b7b43358163474680c4ed1f679cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)= \\sqrt{1-1}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1aeb989c9085de4b81624b2d9fe0720_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)= \\sqrt{2-1}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-299894d9a0673df30ca5d1b163cf81be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 5 \\ \\longrightarrow \\ f(5)= \\sqrt{5-1}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a624bf18490395896c06b5db90612d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 10 \\ \\longrightarrow \\ f(10)= \\sqrt{10-1}=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"263\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-81644903e1958606867b0908817c091f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 1 &amp; 0 \\\\ 2 &amp; 1 \\\\ 5 &amp; 2 \\\\ 10 &amp; 3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"85\" style=\"vertical-align: -51px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Terakhir, kita plot titik-titiknya dan plot fungsinya pada grafik: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-pas-a-pas-de-fonction-irrationnel-ou-radical.webp\" alt=\"latihan diselesaikan langkah demi langkah dari fungsi irasional atau radikal\" class=\"wp-image-180\" width=\"415\" height=\"204\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 4<\/h3>\n<p> Gambarkan fungsi irasional atau radikal berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d19c800dc2ea20793710ebeb44c57b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= -2\\sqrt{x}+3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Pertama-tama, kita harus menghitung domain dari fungsi tersebut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-46bb299f47d94e1927057d14ab78801f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"43\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4352746a25b5189ba00c16a9f10e0316_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = [0,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita membuat array nilai dengan memberikan nilai fungsi dalam rentang domain: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-313\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-020d59f29830e2ad11c40318ae4ce5a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)= -2\\sqrt{0}+3=3\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"259\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cb8b754408ffc7676b63c1a9524aca0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)= -2\\sqrt{1}+3=1\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"258\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-499ba530ff14f35ff3376bc0c5b8a7d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)= -2\\sqrt{4}+3=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"272\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-57008deb14e81aa3ee6ee1546369db77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 9 \\ \\longrightarrow \\ f(9)= -2\\sqrt{9}+3=-3\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"273\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01738dd5c857391ebbe824cd2d68b276_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 3 \\\\ 1 &amp; 1 \\\\ 4 &amp; -1 \\\\ 9 &amp; -3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"78\" style=\"vertical-align: -51px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Terakhir, kita plot titik-titiknya dan menggambar fungsinya pada grafik: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-du-graphe-d-une-fonction-irrationnelle-ou-radicale.webp\" alt=\"latihan diselesaikan langkah demi langkah dari fungsi irasional atau radikal\" class=\"wp-image-181\" width=\"408\" height=\"318\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 5<\/h3>\n<p> Gambarkan fungsi irasional atau radikal berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9ba5f342391543ebd4936bdb4172b560_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\sqrt{-x+5}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Sebelum memplot suatu fungsi, kita perlu menghitung domain dari fungsi tersebut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ea058d741d4f54988266eff83ac4e5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x+5\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"86\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-edc9aa58baf5d190aaa50260d2682248_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\\ge -5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"69\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b853f76c54b3edc8fb67cee4bc3f9e19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\le\\cfrac{-5}{-1}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"98\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Ingatlah bahwa jika dalam suatu pertidaksamaan kita mengubah sisi suatu bilangan negatif hasil perkalian atau pembagian, kita juga harus mengubah tanda pertidaksamaannya. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db032fd3a93ada954d57503dc023099a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\le5\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1520ce14f7045b93c7340d4b46a1b74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = (-\\infty,5]\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"136\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita membuat tabel nilai dengan mengevaluasi fungsi pada titik-titik yang termasuk dalam domain fungsi: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-316\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf3230433fe57141824a374833dcdf9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 5 \\ \\longrightarrow \\ f(5)=\\sqrt{-5+5}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"250\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16a363047ab5b63a636ceba2bc2edfa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=\\sqrt{-4+5}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"249\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52fb9488589ffa8e992e1e02c27c3066_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=\\sqrt{-1+5}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"249\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-440c1e8970256a70d4e1c006720ea9fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -4 \\ \\longrightarrow \\ f(-4)=\\sqrt{-(-4)+5}=3\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"308\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f28bfe1c88172869773c3a4baec94ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 5 &amp; 0 \\\\ 4 &amp; 1 \\\\ 1 &amp; 2 \\\\ -4 &amp; 3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"90\" style=\"vertical-align: -51px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Dan terakhir, nyatakan saja titik-titiknya dan cat fungsinya pada grafik: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-fonctions-radicales-ou-irrationnelles.webp\" alt=\"pelaksanaan fungsi radikal atau irasional yang ditentukan\" class=\"wp-image-182\" width=\"363\" height=\"198\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 6<\/h3>\n<p> Gambarkan fungsi irasional atau radikal berikut pada grafik: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5532cd3ca43ebdac3ce43c046e15bfc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\sqrt{x^2-5x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Pertama-tama kita harus menghitung domain dari fungsi tersebut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f79b0c3812612b665aaef39de9d97149_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-5x+4\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"122\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dalam hal ini, kita memperoleh pertidaksamaan derajat kedua, jadi kita perlu menerapkan rumus persamaan kuadrat untuk menyelesaikannya: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd0f7a0d21b888b4e5016eb027b534a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b\\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e5bc09c561e2790b1af96a618a015a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\cfrac{-(-5)\\pm \\sqrt{(-5)^2-4\\cdot 1\\cdot 4}}{2\\cdot 1} = \\cfrac{5\\pm 3}{2} =\\begin{cases} 4 \\\\[2ex] 1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"365\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Kami membagi garis menjadi tiga bagian dengan akar yang diperoleh: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/domaine-dune-fonction-irrationnelle.webp\" alt=\"\" class=\"wp-image-183\" width=\"366\" height=\"43\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> Dan kami mengganti angka untuk setiap bagian pertidaksamaan, untuk melihat bagian mana yang memenuhi pertidaksamaan tersebut dan, oleh karena itu, termasuk dalam domain:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 137px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9c9c5a39dc152cdcb902dbf0b2e5b59_l3.png\" height=\"137\" width=\"680\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"x^2-5x+4\\ge 0 \\ \\xrightarrow{x\\ = \\ 0} <span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c214e08b91825263231bc6eddbbdee1_l3.png&quot; height=&quot;54&quot; width=&quot;404&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[0^2-5\\cdot 0+4\\ge 0 \\ \\longrightarrow \\ 4\\ge 0 $ \u2705$x^2-5x+4\\ge 0 \\ \\xrightarrow{x\\ = \\ 2}\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> 2^2-5\\cdot 2+4\\ge 0 \\ \\longrightarrow \\ -10\\ \\cancel{\\ge } \\ 0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<p>\u274c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ba275d878055060d9f1f232b43b8d7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-5x+4\\ge 0 \\ \\xrightarrow{x\\ = \\ 5}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"179\" style=\"vertical-align: -3px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83bcc8fb2e8f22a2156cd258de5ed608_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5^2-5\\cdot 5+4\\ge 0 \\ \\longrightarrow \\ 4\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"224\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u2705<\/p>\n<p class=\"has-text-align-left\"> Jadi, bagian yang menghormati pertidaksamaan adalah bagian sisinya: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/domaine-dune-fonction-radicale.webp\" alt=\"\" class=\"wp-image-184\" width=\"366\" height=\"46\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> Oleh karena itu, domain fungsinya adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b680e7160227605450a9e97fbb9fdbbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = (-\\infty,1]\\cup [4,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Setelah kita menghitung domain fungsi, kita membuat tabel nilai yang memberikan nilai fungsi dalam interval domain: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-319\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ed6d482c8f20a711c2ebd8918c7b5dfa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=\\sqrt{1^2-5\\cdot 1+4} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9d4966cf27f0fd7cbcb9897457ef1a23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=\\sqrt{0^2-5\\cdot 0+4} =2\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"295\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8fc83308a6420951633f086998077ebf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 \\ \\longrightarrow \\ f(-1)=\\sqrt{(-1)^2-5\\cdot (-1)+4} =3,16\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"408\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8887531a085876374823e623a2338970_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=\\sqrt{4^2-5\\cdot 4+4} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"296\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a02aa9fba40d0611a9956aa2bbb90a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 5 \\ \\longrightarrow \\ f(5)=\\sqrt{5^2-5\\cdot 5+4} =2\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"295\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f4f3e0f153312d18d1e053903d0ebf29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 6 \\ \\longrightarrow \\ f(6)=\\sqrt{6^2-5\\cdot 6+4} =3,16\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"322\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f930838c6e44ca715b85a73fafe248c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 1 &amp; 0 \\\\ 0 &amp; 2 \\\\ -1 &amp; 3,16 \\\\ 4 &amp; 0 \\\\ 5 &amp; 2 \\\\ 6 &amp; 3,16 \\\\ \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"156\" width=\"90\" style=\"vertical-align: -73px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Terakhir, kami merepresentasikan titik-titik yang diperoleh pada grafik dan memplot fungsinya: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/graphique-de-fonction-irrationnelle-ou-radicale-dindice-pair.webp\" alt=\"grafik fungsi irasional atau radikal dengan indeks genap\" class=\"wp-image-185\" width=\"482\" height=\"269\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 7<\/h3>\n<p> Nyatakan pada grafik fungsi berikut yang dibentuk oleh akar: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33e1d80dd68d184dbbf07e090b2a3075_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\sqrt[3]{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Merupakan fungsi irasional yang akarnya mempunyai indeks ganjil, sehingga domain fungsi tersebut terdiri dari bilangan real:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cd1539b66edeb38040ed80168e1fd9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Oleh karena itu, kita dapat mengambil titik mana saja untuk membuat tabel nilai. Dalam hal ini kita akan mencari banyak titik karena merupakan akar pangkat tiga: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-322\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff9cf5879c32e2787a6747b41c5ecded_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)= \\sqrt[3]{0} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16c416c17e3dcab315ee160cd292c972_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0,5 \\ \\longrightarrow \\ f(0,5)= \\sqrt[3]{0,5} = 0,79\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"283\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b97f2e3514a83904a1fd4a4fa37ef39a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -0,5 \\ \\longrightarrow \\ f(-0,5)= \\sqrt[3]{-0,5} = -0,79\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"338\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-567dfcce97fc79b8ec915adabcf51c53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)= \\sqrt[3]{1} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"206\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-37cc895c2772cf32732f3ad7d5910aee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 \\ \\longrightarrow \\ f(-1)= \\sqrt[3]{-1} = -1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"261\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cd85b49489d08da13490ab97bdf708a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 8 \\ \\longrightarrow \\ f(8)= \\sqrt[3]{8} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"206\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-438025444e3289620b8a5bf11d39660b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -8 \\ \\longrightarrow \\ f(-8)= \\sqrt[3]{-8} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"261\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-21eb0a68ee7f4b9bc5c5fb42f5a36328_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 0 \\\\ 0,5 &amp; 0,79 \\\\ -0,5 &amp; -0,79 \\\\ 1 &amp; 1 \\\\ -1 &amp; -1 \\\\ 8 &amp; 2 \\\\ -8 &amp; -2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"178\" width=\"121\" style=\"vertical-align: -84px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Terakhir, kami memplot titik-titik yang ditemukan dan memplot fungsinya pada grafik: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-dune-fonction-irrationnelle-ou-radicale-dun-indice-impair.webp\" alt=\"buat grafik fungsi irasional atau radikal dengan indeks ganjil\" class=\"wp-image-186\" width=\"561\" height=\"270\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 8<\/h3>\n<p> Selesaikan soal berikut yang berkaitan dengan fungsi irasional (atau radikal):<\/p>\n<p> Konsumsi baterai ponsel diberikan oleh fungsi berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-88e0a642418314faa4ff395e40da9dec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(t)=\\sqrt{x-K \\vphantom{(-K)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"121\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> Dimana konsumsinya dinyatakan dalam miliampere (mA) dan<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b4e3cbf5d4c5c6d9b702dd139f14c147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah waktu yang berlalu dalam hitungan menit.<\/p>\n<p> Tentukan nilai konstanta tersebut<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ea9c87a513e4a72624155d392fae86e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"K\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> sehingga setelah 4 menit konsumsinya menjadi 35 mA. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Setelah 4 menit konsumsinya menjadi 35 mA berarti ketika t = 4, f(t) adalah 35. Jadi f(4)=35. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60a9c6e6fc25b6b4a22742383a429400_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(4)=\\sqrt{4-K} = 35\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59baad76cb4a8eeb877d6eb6055c6777_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4-K} = 35\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"101\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita perlu menyelesaikan persamaan yang kita peroleh. Jika diperhatikan lebih dekat, ini adalah persamaan irasional karena memiliki akar. Dalam persamaan jenis ini, hal pertama yang harus dilakukan adalah mengisolasi akar salah satu ruasnya, yang dalam hal ini sudah terisolasi. Setelah diisolasi, kita harus mengkuadratkan kedua ruas persamaan:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b834c1688aa5e4ccc87f5a2dbb56a43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\sqrt{4-K} \\right)^2= 35^2\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"132\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Kemudian kita sederhanakan rootnya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0396a3e2a3ee507199b1b81ea70fa36a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-K= 35^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan kami memecahkan persamaan: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b73ab2e0cee4a13fdb21093ea88bf55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-K= 1125\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"105\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e34f99c25a171ff3872dad7a5c02e577_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-1225=K\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"106\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f14e731da093f1ad6b0efaf13be99481_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-1221=K}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"88\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Terakhir, dalam persamaan irasional, solusinya harus diverifikasi. Oleh karena itu kita harus mengganti K=-1221 ke dalam persamaan di awal: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e9b1d8c0d5969edc8e00ca5fdb7e694_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4-K} = 35 \\ \\xrightarrow{K \\ = \\ -1221} \\ \\sqrt{4-(-1221)} = 35\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"360\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-494a9f97e9765f9f23e73d2ac480e5b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4+1221} = 35\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"120\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-434d3da36cdf2a90de20d45530759b9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{1225} = 35\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"90\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6dc9c0d5a5bb963b5a3e50a78967accc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"35 = 35\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"58\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Karena persamaan terpenuhi, K=-1221 adalah solusi.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Halaman ini menjelaskan apa itu fungsi irasional disebut juga fungsi radikal, serta semua ciri-ciri dari jenis fungsi tersebut. Anda juga akan menemukan cara menghitung domain fungsi radikal atau irasional dan, sebagai tambahan, Anda akan dapat melihat cara merepresentasikannya dalam grafik dengan contoh dan latihan dengan latihan dan masalah yang diselesaikan langkah demi langkah. Apa yang &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/fungsi-irasional-atau-radikal\/\"> <span class=\"screen-reader-text\">Fungsi irasional atau fungsi radikal<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[49],"tags":[],"class_list":["post-8","post","type-post","status-publish","format-standard","hentry","category-representasi-fungsi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fungsi irasional atau fungsi radikal -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/fungsi-irasional-atau-radikal\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fungsi irasional atau fungsi radikal -\" \/>\n<meta property=\"og:description\" content=\"Halaman ini menjelaskan apa itu fungsi irasional disebut juga fungsi radikal, serta semua ciri-ciri dari jenis fungsi tersebut. 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Anda juga akan menemukan cara menghitung domain fungsi radikal atau irasional dan, sebagai tambahan, Anda akan dapat melihat cara merepresentasikannya dalam grafik dengan contoh dan latihan dengan latihan dan masalah yang diselesaikan langkah demi langkah. 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