This math topic focuses on determining the domains of compositions of two functions, specifically when one function is a square root and the other is linear. The problems involve substituting the output of the linear function into the square root function and identifying the set of all real numbers that satisfy the condition that the argument of the square root is non-negative. This allows students to practice understanding and analysis of function compositions and domain restrictions resulting from square root operations. Each problem offers two choices of potential domains, from which the correct answer must be selected based on the function definitions and compositions provided.

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