✅ Composition of Functions: Quick Check (F-BF.A.1c)

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Compose functions. Work on your own. Then check your answers.

1. f(x) = 3x + 0, g(x) = 3x². Find (f ∘ g)(-2).

2. f(x) = 2x − 6, g(x) = 3x². Find (g ∘ f)(1).

3. f(x) = 3x − 6, g(x) = 4x². Find (f ∘ g)(0).

4. f(x) = 3x + 1, g(x) = 2x². Find (g ∘ f)(4).

5. f(x) = 3x + 4, g(x) = x². Find (f ∘ g)(-4).

6. f(x) = 6x − 5, g(x) = 2x². Find (g ∘ f)(-2).

7. f(x) = 4x + 1, g(x) = 2x². Find (f ∘ g)(1).

8. f(x) = 3x − 2, g(x) = 4x². Find (g ∘ f)(-3).

9. f(x) = 2x + 1, g(x) = x². Find (f ∘ g)(0).

10. f(x) = 3x − 2, g(x) = 3x². Find (g ∘ f)(-1).

Score: ____ / 10 I can compose functions: ☐ yes ☐ almost ☐ not yet

Answer key: 1) 36 · 2) 48 · 3) -6 · 4) 338 · 5) 52 · 6) 578 · 7) 9 · 8) 484 · 9) 1 · 10) 75

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Worksheets › Grade 12 Math (Precalculus & Statistics) › Composition of Functions › Composition of Functions

Grade 12 (ages 17–18)Numbers & mathsFree printable PDF

About this grade 12 worksheet

Free Grade 12 Precalculus & Statistics math worksheet (Common Core F-BF.A.1c): composition of functions — a ten-question quick check (quiz), with answer key. Skill: Compose functions. Level: Grade 12 — also suits Year 13 (UK).

For teachers: skills & standards

CCSS F-BF.A.1c: Compose functions
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 12 (ages 17–18), but use it with any child who is ready.

What skills does it build?

Compose functions.

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More “Composition of Functions” printables (f-bf.a.1c: compose functions)

Composition of Functions: Practice A (F-BF.A.1c) · Composition of Functions: Practice B (F-BF.A.1c) · Composition of Functions: Mixed Practice & Reasoning (F-BF.A.1c) · Composition of Functions: Show Your Thinking (F-BF.A.1c)

All 5 composition of functions sheets → · Grade 12 Math (Precalculus & Statistics): all 10 skills → · All Common Core grades

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