{"id":"act_practice_pdf:pt1:math:044","source_id":"act_practice_pdf","source_item_id":"pt1-math-044","external_id":null,"program":"ACT","section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":"F","subcategory":"Functions","form_id":"act_practice_pdf:pt1","passage_id":null,"position":44,"scored":true,"layout_warning":null,"stem":"The table gives values of f (x) , g (x) , and h (x) for all positive integers x ≤ 5 . Given h (f (g (a) ) ) = 1 where a is a positive integer less than or equal to 5 , what is the value of a ? x f (x) g ( x) h ( x) 1 2 4 3 2 1 5 1 3 4 2 5 4 5 3 4 5 3 1 2","stimulus":"","stimulus_html":"<figure><img src=\"/api/assets/dea16be5892ffa52fdcf393a74d425fe94f2a56114eef740c1c3a20f0be95df5\" alt=\"Question 44 as printed in the Preparing for the ACT — Practice Test 1 booklet\"><figcaption>As printed in the official booklet.</figcaption></figure>","stem_html":"<p>The table gives values of f (x) , g (x) , and h (x) for all positive integers x ≤ 5 . Given h (f (g (a) ) ) = 1 where a is a positive integer less than or equal to 5 , what is the value of a ? x f (x) g ( x) h ( x) 1 2 4 3 2 1 5 1 3 4 2 5 4 5 3 4 5 3 1 2</p>","rationale_html":null,"correct_answer":["J"],"equiv_key":"46d9d5ce48aff24fed47b65d","has_media":true,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"F","content_html":"<p>2</p>","ord":0},{"label":"G","content_html":"<p>3</p>","ord":1},{"label":"H","content_html":"<p>4</p>","ord":2},{"label":"J","content_html":"<p>5</p>","ord":3}],"passage":null,"attribution":{"source_id":"act_practice_pdf","source_name":"Official ACT full-length practice tests (PDF)","rights_holder":"ACT Education Corp.","canonical_url":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","retrieved_from":"https://www.act.org/content/act/en/products-and-services/the-act/test-preparation.html","attribution":"Full-length ACT practice tests © ACT Education Corp., published free at act.org. Questions are retired items from previous ACT administrations.","disclaimer":"Extracted from a print-layout PDF: equations, figures and charts do not survive as text. Use the original PDF for anything that renders poorly. ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free for personal test preparation; not licensed for redistribution.","redistributable":false,"item_count":342},"equivalents":[]}