Lesson A7
A7 Expressions as functions; inverse and composite functions Quiz: AQA Maths, Unit 2
20 questions
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Lesson A7, Expressions as functions; inverse and composite functions: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 2: Algebra, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
f(x) = 2x + 3. What is f(4)?
- 8
- 7
- 11
- 14
-
g(x) = x² - 1. What is g(3)?
- 2
- 10
- 8
- 9
-
f(x) = 3x - 2. What is the inverse function f⁻¹(x)?
- (x - 2)/3
- x/3 - 2
- (x + 2)/3
- 3x + 2
-
f(x) = x + 5 and g(x) = 2x. What is fg(x)?
- 2x - 5
- x + 10
- 2x + 10
- 2x + 5
-
f(x) = x + 5 and g(x) = 2x. What is gf(x)?
- 2x + 10
- 2x - 5
- x + 10
- 2x + 5
-
f(x) = 4x. What is f⁻¹(12)?
- 8
- 48
- 16
- 3
-
f(x) = 2x - 6. For what value of x is f(x) = 10?
- 2
- 4
- 16
- 8
-
f(x) = x² and g(x) = x + 1. What is g(f(2))?
- 4
- 6
- 5
- 9
-
A function doubles a number and then adds 1. Which describes its inverse?
- Subtract 1, then multiply by 2
- Subtract 1, then divide by 2
- Add 1, then divide by 2
- Divide by 2, then add 1
-
f(x) = 3 - x. What is f(-2)?
- 1
- -5
- -1
- 5
-
f(x) = x/2 + 1. What is f(8)?
- 5
- 17
- 4
- 9
-
g(x) = 5 - x. What is g(-3)?
- 8
- -2
- -8
- 2
-
h(x) = (x + 4)/3. What is h⁻¹(2)?
- 6
- 10
- 2
- -2
-
f(x) = x + 1 and g(x) = x². What is fg(3)?
- 16
- 12
- 10
- 9
-
Which is the inverse of f(x) = 7x?
- f⁻¹(x) = x + 7
- f⁻¹(x) = x/7
- f⁻¹(x) = 7x
- f⁻¹(x) = x - 7
-
f(x) = x³. What is f(-2)?
- -8
- 6
- 8
- -6
-
f(x) = 2x + 1 and g(x) = x - 3. What is f(g(5))?
- 3
- 11
- 7
- 5
-
A machine doubles a number and subtracts 4. The output is 10. What was the input?
- 7
- 14
- 3
- 6
-
f(x) = 3x + 2 for x ≥ 0. What is the smallest output?
- 2
- 0
- 5
- 3
-
f(x) = x² + 2. What is f(-3)?
- 9
- 11
- -7
- 7
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