A function is a relation that assigns to each input value exactly one output value. Like numbers and polynomials we can add, subtract, multiply and divide functions which results into a new function. Below are the rules to perform these operations on functions.<\/p>\n
Let f(x) and g(x) be two functions:<\/p>\n
Addition<\/strong><\/p>\n We can add two functions as:<\/p>\n (f + g)(x) = f(x) + g(x)<\/p>\n Example:<\/span><\/p>\n f(x) = 2x2<\/sup> + 3x \u2013 4 and g(x) = 2x + 3<\/p>\n (f + g)(x) = (2x2<\/sup> + 3x \u2013 4) + (2x + 3)<\/p>\n = 2x2<\/sup> + 5x \u2013 1<\/p>\n Subtraction<\/strong><\/p>\n We can subtract two functions as:<\/p>\n (f – g)(x) = f(x) – g(x)<\/p>\n Example:<\/span><\/p>\n f(x) = 2x2<\/sup> + 3x \u2013 4 and g(x) = 2x + 3<\/p>\n (f – g)(x) = (2x2<\/sup> + 3x \u2013 4) – (2x + 3)<\/p>\n = 2x2<\/sup> + x – 7<\/p>\n Multiplication<\/strong><\/p>\n (f\u2022g)(x) = f(x)\u2022g(x)<\/p>\n Example:<\/span><\/p>\n f(x) = 3x \u2013 5 and g(x) = x<\/p>\n (f\u2022g)(x) = (3x – 5)\u2022(x)<\/p>\n = 3x2<\/sup> \u2013 5x<\/p>\n Division<\/strong><\/p>\n (f\/g)(x) = f(x)\/g(x)<\/p>\n Example:<\/span><\/p>\n f(x) = 3x2<\/sup> + 4x \u2013 3 and g(x) = x<\/p>\n (f\/g)(x) = (3x2<\/sup> + 4x \u2013 3)\/x<\/p>\n = 3x + 4 \u2013 3\/x<\/p>\n SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Regina visit: Tutoring in Regina<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":" A function is a relation that assigns to each input value exactly one output value. Like numbers and polynomials we can add, subtract, multiply and divide functions which results into a new function. Below are the rules to perform these operations on functions. Let f(x) and g(x) be two functions: Addition We can add two […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2,4,13,14],"tags":[55,528,1161,1251,1255,1767],"class_list":["post-1062","post","type-post","status-publish","format-standard","hentry","category-algebra","category-calculus","category-pre-algebra","category-pre-calculus","tag-additionoffunctions","tag-divisiooffunctions","tag-multiplicationoffunctions","tag-operationsonfunctions","tag-operationswithfunctions","tag-subtractionoffunctions"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/1062","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=1062"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/1062\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=1062"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=1062"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=1062"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}