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Composition of Functions Worksheet

This composition of functions worksheet is for students practicing function evaluation with simple algebraic expressions. It includes Name and Date lines, the functions f(x) = 2x + 1, g(x) = x² − 3, and h(x) = 4 − x, plus eight problems to evaluate. The practice section uses a two-column layout with Problem and Answer spaces and includes items such as f(g(2)), g(f(2)), f(h(−1)), f(f(3)), h(g(0)), and g(h(5)).

Preview of Composition of Functions Worksheet

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  • 2 pages
  • US Letter — choose “Fit to page” for A4
  • PDF, 98 KB
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Use the first page for practice and the second page as an answer key. Students can work each composition step by step, then compare responses to the solutions provided. Print the sheet on letter paper for classwork, homework, or review.

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Tip: Print double-sided so the problems and answer key stay together.

4 files · PDF, DOCX

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This sheet plus 3 more in one download, with the editable Word files. Printable function worksheets with answer keys (evaluation, tables of values, composition, transformations), a function families reference card and coordinate graph paper.

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