{"id":4246,"date":"2022-06-10T18:58:08","date_gmt":"2022-06-10T18:58:08","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4246"},"modified":"2022-06-10T18:58:08","modified_gmt":"2022-06-10T18:58:08","slug":"domain-and-range-of-rational-function","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/10\/domain-and-range-of-rational-function\/","title":{"rendered":"Domain and Range of Rational Function"},"content":{"rendered":"\n<p>Any\u00a0fraction\u00a0is not defined when its denominator is equal to 0. This is the key point that is used in finding the\u00a0domain and range\u00a0of a rational function.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Domain of Rational Function<\/h3>\n\n\n\n<p>The domain of a rational function is the set of all x-values that the function can take. To find the domain of a rational function y = f(x):<\/p>\n\n\n\n<ul><li>Set the denominator \u2260 0 and solve it for x.<\/li><li>Set of all\u00a0real numbers\u00a0other than the values of x mentioned in the last step is the domain.<\/li><\/ul>\n\n\n\n<p><strong>Example:<\/strong>&nbsp;Find the domain of f(x) = (2x + 1) \/ (3x &#8211; 2).<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>We set the denominator not equal to zero.<\/p>\n\n\n\n<p>3x &#8211; 2 \u2260 0<br>x \u2260 2\/3<\/p>\n\n\n\n<p>Thus, the domain = {x \u2208 R | x \u2260 2\/3}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Any\u00a0fraction\u00a0is not defined when its denominator is equal to 0. This is the key point that is used in finding the\u00a0domain and range\u00a0of a rational function. Domain of Rational Function The domain of a rational function is the set of all x-values that the function can take. To find the domain of a rational function [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[715],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4246"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=4246"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4246\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4246"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4246"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}