Success TutoringWorksheets

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

WorksheetYear 11Level 3 · Challenge

Free Year 11 Function Notation, Composites and Inverses Worksheet — Level 3 — Practice Set 2

Practice Set 2 for Year 11 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 3 · Practice Set 4 — same skill, fresh questions, full answers.

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

Year
Year 11
Subject
Maths
Topic
Functions
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
New Zealand Curriculum
Questions
12
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

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

Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 11 Function Notation, Composites and Inverses Worksheet — Level 3 — Practice Set 2

  1. 1Year 11 Logarithms and Exponential Equations Worksheet — Level 1
  2. 2Year 11 Logarithms and Exponential Equations Worksheet — Level 2
  3. 3Year 11 Logarithms and Exponential Equations Worksheet — Level 3
← 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?

Year 11 students (typically ages 15–16) 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 Year 11 Logarithms and Exponential Equations Worksheet — Level 1.

Preview

Success TutoringWorksheetsYear 11 · Mathematics · Functions

Year 11 Function Notation, Composites and Inverses Worksheet — Level 3 — Practice Set 2

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) = −x + 3 and g(x) = x − 6. Find f(g(x)) in simplest form.
2.f(x) = −3x + 2 and g(x) = 5x + 1. Find f(g(x)) in simplest form.
3.f(x) = 3x − 2 and g(x) = 4x + 3. Find f(g(x)) in simplest form.
4.Find the inverse function of f(x) = 5x + 6.
5.Find the inverse function of f(x) = −3x + 5.
6.f(x) = 4x + 6 and g(x) = −4x − 4. Find f(g(x)) in simplest form.
7.Find the inverse function of f(x) = −3x + 4.
8.Find the inverse function of f(x) = 4x + 6.
9.f(x) = −x − 5 and g(x) = 5x + 3. Find f(g(x)) in simplest form.
10.f(x) = 2x − 3 and g(x) = 2x − 5. Find f(g(x)) in simplest form.
11.f(x) = −2x − 6 and g(x) = 4x + 3. Find f(g(x)) in simplest form.
12.Find the inverse function of f(x) = 6x − 5.
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 11 functions resources

  • Worksheet

    Year 11 Function Notation, Composites and Inverses Worksheet — Level 1

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Builds confidence with…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 11 Function Notation, Composites and Inverses Worksheet — Level 2

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Expected-level practice…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 11 Function Notation, Composites and Inverses Worksheet — Level 3

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. A challenge set for…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included

Functions in other year levels

Was this resource helpful?

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

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.