This math unit starts with the basics of function composition by identifying roles within composite functions, such as input, output, inner, outer, first, and second functions. It progresses to practical applications, requiring students to substitute functions into each other to evaluate composite function outputs. The unit then advances to a more complex skill set involving the determination of domains for composite functions, combining different types of functions such as linear, root, integer, and quadratic operations. This part teaches students how different functions influence the constraints on domain values, often visualized on number lines to help with conceptual understanding. Towards the end, the unit explores function inversion, challenging students to recognize and verify the inverses of given functions, including more complex scenarios involving exponential and logarithmic functions, fostering a deep understanding of functions and their interrelationships in algebra.Skills you will learn include:
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