This math topic explores the concept of function domains, particularly focusing on functions that are structured as a linear fraction over the square root of a quadratic expression. The problems specifically deal with scenarios where the quadratic has complex roots, requiring students to determine the sets that correctly describe these functions' domains. Each question presents a different function, followed by multiple-choice options for students to select the correct domain representation. The skill being practiced involves understanding and identifying the conditions under which the functions' denominators are valid (non-zero and real).

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.