# Evaluating Composition Function Worksheet and Key

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(454 KB|4 pages)
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This function composition worksheet and key consists of 22 problems where students are asked to evaluate compositions f(g(x)) and g(f(x)) given two functions. There are two problems where they compose a function with itself (f(f(x)) and g(g(x))) and one word problem. I've also included two problems where the functions given are inverses of one another to provide a resource to talk about how to determine if functions are inverses of one another. The functions included in the items are linear, quadratic, rational, radical, and cubic providing a wide variety in practice. I have used this primarily as homework in my Algebra 2 classes and as a quiz in my Pre-Calculus classes.

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Verify by composition that one function is the inverse of another.
Compose functions. For example, if π(πΊ) is the temperature in the atmosphere as a function of height, and π©(π΅) is the height of a weather balloon as a function of time, then π(π©(π΅)) is the temperature at the location of the weather balloon as a function of time.
Total Pages
4 pages
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