This math topic focuses on determining the domain of functions involving the square root of a linear expression divided by a quadratic expression, with an emphasis on ensuring that the expressions under the square root and in the denominator are valid (real roots for square root and non-zero for denominator). The questions present functions in a mathematical LaTeX format and ask users to identify the correct set describing their domain, given in an interval notation format. The problems involve understanding and applying knowledge on the conditions for both the numerator and the denominator to define the domain correctly. Each question offers multiple-choice answers, also provided in LaTeX format.

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