This math topic focuses on determining the domain of functions that involve the ratio of a linear function under a square root to a quadratic function. The functions given in the examples may include complex roots, and learners are required to examine possible real number values of x that will keep the function defined, particularly ensuring that the values do not make the radicand negative or the denominator zero. Each question involves deciding between two sets that describe valid or potential domains for given functions.

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