{"id":18104,"date":"2026-05-02T22:10:12","date_gmt":"2026-05-02T16:10:12","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-14\/"},"modified":"2026-05-02T22:10:12","modified_gmt":"2026-05-02T16:10:12","slug":"function-composition-or-inverse-14","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-14\/","title":{"rendered":"Function Composition Or Inverse 14"},"content":{"rendered":"<p>Let f(x)=-3x+-2. Which expression represents f^(-1)(x)?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>(x + (-2))\/-3<\/li>\n<li>(x &#8211; (-2))\/-3<\/li>\n<li>-3\/(x &#8211; (-2))<\/li>\n<li>(-3x) &#8211; (-2)<\/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-18104","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- 2 and solve for x: x=(y-(-2))\/-3. Replacing y by x gives f^(-1)(x)=(x - (-2))\/-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":"(x + (-2))\/-3"},{"right":"yes","answer":"(x - (-2))\/-3"},{"right":"no","answer":"-3\/(x - (-2))"},{"right":"no","answer":"(-3x) - (-2)"}],"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\/18104","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=18104"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18104"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18104"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18104"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}