{"id":"act_practice_pdf:pt2:math:036","source_id":"act_practice_pdf","source_item_id":"pt2-math-036","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:pt2","passage_id":null,"position":36,"scored":true,"layout_warning":null,"stem":"The piecewise functions f and g are given. − x for x < 0 f (x) = { 1 − x for x ≥ 0 ⎪x⎪ + 7 for x ≤ −1 g (x) = { x − 3 for x > −1 What is the value of f (g ( − 1) ) ?","stimulus":"","stimulus_html":"<figure><img src=\"/api/assets/523ae3e8e09899188b9e9b84a0fdd104bbf4858828b6e449b8b38903e0c0a386\" alt=\"Question 36 as printed in the ACT Practice Test 2 booklet\"><figcaption>As printed in the official booklet.</figcaption></figure>","stem_html":"<p>The piecewise functions f and g are given. − x for x &lt; 0 f (x) = { 1 − x for x ≥ 0 ⎪x⎪ + 7 for x ≤ −1 g (x) = { x − 3 for x &gt; −1 What is the value of f (g ( − 1) ) ?</p>","rationale_html":null,"correct_answer":["G"],"equiv_key":"4a5bc415dc39787c6a722d29","has_media":true,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"F","content_html":"<p>−16</p>","ord":0},{"label":"G","content_html":"<p>−7</p>","ord":1},{"label":"H","content_html":"<p>−5</p>","ord":2},{"label":"J","content_html":"<p>−1</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":[]}