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Extra practice for 11th Grade Function Notation, Composites and Inverses Worksheet — Level 3: the same skill with fresh questions.

Worksheet11th GradeLevel 3 · Challenge

Free 11th Grade Function Notation, Composites and Inverses Worksheet — Level 3 — Practice Set 4

Practice Set 4 for 11th Grade Function Notation, Composites and Inverses Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.

More practice: Set 1 · Practice Set 2 · Practice Set 3 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Grade
11th Grade
Subject
Math
Topic
Functions
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
Texas grade levels (TEKS)
Questions
12
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practice

  • evaluating functions in f(x) notation
  • forming composite functions
  • finding inverse functions

Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: 11th Grade Function Notation, Composites and Inverses Worksheet — Level 3 — Practice Set 4

  1. 111th Grade Differentiation (Power Rule) Worksheet — Level 1
← Easier: Level 2 · StandardStudy guide

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

11th Grade students (typically ages 16–17) working on functions. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 12 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try 11th Grade Differentiation (Power Rule) Worksheet — Level 1.

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Success TutoringWorksheets11th Grade · Mathematics · Functions

11th Grade Function Notation, Composites and Inverses Worksheet — Level 3 — Practice Set 4

Name

Date

Score /

f(x) notation means "the value of the function at x". For a composite, substitute the inner function into the outer one. For an inverse, swap x and y and solve for y.

1.f(x) = −4x − 2 and g(x) = 2x − 2. Find g(f(x)) in simplest form.
2.Find the inverse function of f(x) = −6x + 9.
3.f(x) = 2x + 6 and g(x) = x − 2. Find f(g(x)) in simplest form.
4.f(x) = −3x + 2 and g(x) = −x + 1. Find g(f(x)) in simplest form.
5.f(x) = −2x + 5 and g(x) = −3x − 1. Find g(f(x)) in simplest form.
6.f(x) = −4x + 4 and g(x) = −2x + 2. Find f(g(x)) in simplest form.
7.Find the inverse function of f(x) = 7x − 8.
8.f(x) = −3x + 6 and g(x) = 5x + 2. Find f(g(x)) in simplest form.
9.f(x) = −3x + 1 and g(x) = 3x − 3. Find f(g(x)) in simplest form.
10.f(x) = −3x and g(x) = x − 1. Find f(g(x)) in simplest form.
11.f(x) = −x + 5 and g(x) = −3x − 3. Find f(g(x)) in simplest form.
12.Find the inverse function of f(x) = 6x − 1.
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Preview — the PDF contains the full resource and answer sheet.

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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

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