This math topic focuses on identifying the domain of function compositions that involve an integer divided by the square root of a linear function. It explores how to compose functions \( f(x) \) and \( g(x) \), and then determine the set of real numbers \( x \) for which these compositions are defined. Students assess different sets to identify which accurately describes the domain of each composed function. This involves understanding how the realms of function definitions interact when combined. The skill practiced is crucial for higher-level algebra and analysis, reinforcing comprehension of function behavior and domain restrictions.

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