This math topic focuses on determining the domain of functions that are fractions with an integer numerator and a square root of a quadratic expression in the denominator. Each problem involves analyzing the quadratic under the root to ensure the expression inside remains non-negative (since a square root must yield a real number). The problems require students to set up inequalities based on the quadratic discriminant or properties ensuring the radicand is non-negative and solve these inequalities to specify the variable's domain where the function is defined. The answers are provided in set notation, expressing conditions on the variable.

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