{"id":18103,"date":"2026-05-02T22:09:58","date_gmt":"2026-05-02T16:09:58","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-13\/"},"modified":"2026-05-02T22:09:58","modified_gmt":"2026-05-02T16:09:58","slug":"function-composition-or-inverse-13","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-13\/","title":{"rendered":"Function Composition Or Inverse 13"},"content":{"rendered":"<p>Let f(x)=2x+-7 and g(x)=1x+-4. Find (f\u2218g)(-4).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-19<\/li>\n<li>-30<\/li>\n<li>-23<\/li>\n<li>-25<\/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-18103","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(-4)=1(-4)- 4=-8; then f(g(-4))=2(-8)- 7=-23. 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":"-19"},{"right":"no","answer":"-30"},{"right":"yes","answer":"-23"},{"right":"no","answer":"-25"}],"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\/18103","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=18103"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18103"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18103"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18103"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}