{"id":18096,"date":"2026-05-02T22:07:56","date_gmt":"2026-05-02T16:07:56","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-6\/"},"modified":"2026-05-02T22:07:56","modified_gmt":"2026-05-02T16:07:56","slug":"function-composition-or-inverse-6","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-6\/","title":{"rendered":"Function Composition Or Inverse 6"},"content":{"rendered":"<p>Let f(x)=3x+-5. Which expression represents f^(-1)(x)?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>(x &#8211; (-5))\/3<\/li>\n<li>(x + (-5))\/3<\/li>\n<li>(3x) &#8211; (-5)<\/li>\n<li>3\/(x &#8211; (-5))<\/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-18096","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- 5 and solve for x: x=(y-(-5))\/3. Replacing y by x gives f^(-1)(x)=(x - (-5))\/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":"yes","answer":"(x - (-5))\/3"},{"right":"no","answer":"(x + (-5))\/3"},{"right":"no","answer":"(3x) - (-5)"},{"right":"no","answer":"3\/(x - (-5))"}],"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\/18096","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=18096"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18096"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18096"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18096"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18096"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}