Evaluating Composition Function Worksheet and Key

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.

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at MathHop321@gmail.com.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Log in to see state-specific standards (only available in the US).
Verify by composition that one function is the inverse of another.
Compose functions. For example, if π˜›(𝘺) is the temperature in the atmosphere as a function of height, and 𝘩(𝘡) is the height of a weather balloon as a function of time, then π˜›(𝘩(𝘡)) is the temperature at the location of the weather balloon as a function of time.
Total Pages
4 pages
Answer Key
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