Free Printable WorksheetMathAlgebra IIMath CurriculumF-BF.1c

ALG2.79 Function Composition Worksheet

Download our free printable Algebra II Math worksheet on ALG2.79 Function Composition. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.79 Function Composition. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.79 Function Composition - Compose functions and select the correct interpretation of the meaning of a composite function in context, including domain restrictions. Associated source-listed standards: CCSS F-BF.1c; CA CCSSM F-BF.1c; MA 2017 F-BF.1c; NY NGLS F-BF.1c; TX TEKS Algebra II: §111.40.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.79 Function Composition skill assessments:

Problem 1Difficulty: Mastery
A value goes through g(x) = sqrt(x + 1) + 2 and then through f(x) = (x - 2)2. What output appears when the starting value is 8?
Solution & Explanation:First compute g(8) = sqrt(9) + 2 = 5. Then f(5) = (5 - 2)2 = 9.
Problem 2Difficulty: Mastery
A builder measures side length in feet. The function m(f) = 0.3048f converts feet to meters. The function a(m) = m2 gives the area of a square with side length m. Which composite gives square area from a side length in feet?
Am(a(f))
Bm(f2)
Ca(m(f))
Da(f) / 0.3048
Solution & Explanation:First convert the side length from feet to meters with m(f). Then use a to square that meter value and get area. The composite is a(m(f)).
Problem 3Difficulty: Mastery
Let f(x) = sqrt(x + 1) and g(x) = x2 + 8. If f(g(x)) = 5 and x > 0, what is x?
Solution & Explanation:Compose first: f(g(x)) = sqrt(x2 + 9). Set this equal to 5 and square both sides to get x2 + 9 = 25. Then x2 = 16, and since x > 0, x = 4.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this ALG2.79 Function Composition worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice ALG2.79 Function Composition interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard F-BF.1c (Compose functions and select the correct interpretation of the meaning of a composite function in context, including domain restrictions. Associated source-listed standards: CCSS F-BF.1c; CA CCSSM F-BF.1c; MA 2017 F-BF.1c; NY NGLS F-BF.1c; TX TEKS Algebra II: §111.40.).

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