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Extra practice for Year 13 Function Notation, Composites and Inverses Worksheet — Level 2: the same skill with fresh questions.

WorksheetYear 13Level 2 · Standard

Free Year 13 Function Notation, Composites and Inverses Worksheet — Level 2 — Practice Set 2

Practice Set 2 for Year 13 Function Notation, Composites and Inverses Worksheet — Level 2: 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 13
Subject
Maths
Topic
Functions
Difficulty
Level 2 · Standard
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 13 Function Notation, Composites and Inverses Worksheet — Level 2 — Practice Set 2

  1. 1Year 13 Function Notation, Composites and Inverses Worksheet — Level 3
← Easier: Level 1 · EasierHarder: Level 3 · Challenge →Study 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 13 students (typically ages 17–18) working on functions. It is pitched at level 2 · standard; an easier version and a harder version are 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 13 Function Notation, Composites and Inverses Worksheet — Level 3.

Preview

Success TutoringWorksheetsYear 13 · Mathematics · Functions

Year 13 Function Notation, Composites and Inverses Worksheet — Level 2 — 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.If f(x) = 3x2 − 6x − 1, find f(−4).
2.f(x) = 4x + 1 and g(x) = 3x + 5. Find g(f(x)) in simplest form.
3.If f(x) = −2x2 + 4x + 1, find f(3).
4.f(x) = 2x + 4 and g(x) = −x + 1. Find g(f(x)) in simplest form.
5.f(x) = 4x − 4 and g(x) = 3x − 4. Find f(g(x)) in simplest form.
6.If f(x) = 3x2 + 5x + 5, find f(−1).
7.f(x) = −2x − 3 and g(x) = x − 2. Find f(g(x)) in simplest form.
8.If f(x) = −x2 − 4x + 6, find f(1).
9.If f(x) = −3x2 + 6x + 2, find f(−3).
10.If f(x) = −2x2 − x − 5, find f(1).
11.f(x) = 2x − 5 and g(x) = 4x + 6. Find g(f(x)) in simplest form.
12.If f(x) = 3x2 + 4x − 9, find f(−2).
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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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