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Grade 12 Function Operations & Composition Worksheet with Answers

Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Math

Unit 3: Functions ReviewFunction Operations & InversesCCSS F-BF.A.1c

Adding, multiplying and composing functions, and evaluating composites like f(g(2)). This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Function Operations & Composition

Grade 12 · Math

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Class

Date

Learning goal: Function Operations & Inverses · CCSS F-BF.A.1c

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

f(x) = 5x - 1 and g(x) = -2x + 7. Find (f · g)(0).

Answer: -7

RememberFunctions

1
f(x) = 3x + 3 and g(x) = 3x - 7. Find (f · g)(-2).
Answer
2
f(x) = -4x and g(x) = x + 6. Find (f · g)(-4).
Answer
3
f(x) = -x + 4 and g(x) = -x - 2. Find f(g(-2)).
Answer
4
f(x) = -5x + 5 and g(x) = x - 4. Find (f + g)(x).
Answer
5
f(x) = 4x - 2 and g(x) = 3x + 1. Find (f + g)(x).
Answer
6
f(x) = 2x - 4 and g(x) = -5x + 9. Find (f + g)(x).
Answer
7
f(x) = 2x - 1 and g(x) = -5x - 5. Find f(g(2)).
Answer
8
f(x) = -4x + 1 and g(x) = -5x + 8. Find (f + g)(x).
Answer
9
f(x) = -5x + 7 and g(x) = -2x + 5. Find f(g(3)).
Answer
10
f(x) = -4x + 1 and g(x) = 5x - 6. Find (f + g)(x).
Answer
11
f(x) = -5x + 2 and g(x) = x + 2. Find (f + g)(x).
Answer
12
f(x) = 5x - 7 and g(x) = 2x + 3. Find (f + g)(x).
Answer

★ Challenge corner for fast finishers

If a + b = 20 and a - b = 6, what is a^2 - b^2?

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/12/function_ops

Answer key (click to show)

1.39
2.32
3.4
4.-4x + 1
5.7x - 1
6.-3x + 5
7.-31
8.-9x + 9
9.12
10.x - 5
11.-4x + 4
12.7x - 4
★120 (challenge corner)

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