{"id":18100,"date":"2026-05-02T22:09:22","date_gmt":"2026-05-02T16:09:22","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-10\/"},"modified":"2026-05-02T22:09:22","modified_gmt":"2026-05-02T16:09:22","slug":"function-composition-or-inverse-10","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/function-composition-or-inverse-10\/","title":{"rendered":"Function Composition Or Inverse 10"},"content":{"rendered":"<p>Let f(x)=4x+1. Which expression represents f^(-1)(x)?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>4\/(x &#8211; (1))<\/li>\n<li>(4x) &#8211; (1)<\/li>\n<li>(x &#8211; (1))\/4<\/li>\n<li>(x + (1))\/4<\/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-18100","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=4x+1 and solve for x: x=(y-(1))\/4. Replacing y by x gives f^(-1)(x)=(x - (1))\/4. 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":"4\/(x - (1))"},{"right":"no","answer":"(4x) - (1)"},{"right":"yes","answer":"(x - (1))\/4"},{"right":"no","answer":"(x + (1))\/4"}],"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\/18100","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=18100"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18100"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18100"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18100"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18100"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}