{"id":18091,"date":"2026-05-02T22:06:40","date_gmt":"2026-05-02T16:06:40","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-1\/"},"modified":"2026-05-02T22:06:40","modified_gmt":"2026-05-02T16:06:40","slug":"function-composition-or-inverse-1","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-1\/","title":{"rendered":"Function Composition Or Inverse 1"},"content":{"rendered":"<p>Let f(x)=2x+-5 and g(x)=3x+-5. Find (f\u2218g)(-3).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-38<\/li>\n<li>-33<\/li>\n<li>-35<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2717],"subject":[1425],"education_level":[1896],"class_list":["post-18091","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-functions","subject-mathematics","education_level-hsc"],"mcq_note":"For a composition, work from the inside to the outside. That means evaluate g(x) first, then use that result as the input of f. Here, Composition means f(g(x)). First g(-3)=3(-3)- 5=-14; then f(g(-3))=2(-14)- 5=-33. This is why the final value of (f\u2218g) is obtained only after the second substitution, not after finding g alone.","mcq_options":[{"right":"no","answer":"-38"},{"right":"yes","answer":"-33"},{"right":"no","answer":"-35"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2717,"title":"Functions","slug":"functions"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/18091","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=18091"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18091"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18091"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18091"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18091"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}