{"id":18106,"date":"2026-05-02T22:11:02","date_gmt":"2026-05-02T16:11:02","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-16\/"},"modified":"2026-05-02T22:11:02","modified_gmt":"2026-05-02T16:11:02","slug":"function-composition-or-inverse-16","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-16\/","title":{"rendered":"Function Composition Or Inverse 16"},"content":{"rendered":"<p>Let f(x)=3x+3. Which expression represents f^(-1)(x)?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>(3x) &#8211; (3)<\/li>\n<li>(x + (3))\/3<\/li>\n<li>3\/(x &#8211; (3))<\/li>\n<li>(x &#8211; (3))\/3<\/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-18106","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-functions","subject-mathematics","education_level-hsc"],"mcq_note":"To find an inverse function, first write the function as y = f(x). Then solve that equation for x, because the inverse reverses the original input-output process. Here, Set y=3x+3 and solve for x: x=(y-(3))\/3. Replacing y by x gives f^(-1)(x)=(x - (3))\/3. So the correct inverse is the expression that isolates the original x after subtracting the constant term and dividing by the coefficient of x.","mcq_options":[{"right":"no","answer":"(3x) - (3)"},{"right":"no","answer":"(x + (3))\/3"},{"right":"no","answer":"3\/(x - (3))"},{"right":"yes","answer":"(x - (3))\/3"}],"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\/18106","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=18106"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18106"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18106"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18106"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}