Lesson 2.4
2.4 Composite functions Quiz: AQA Further Maths, Unit 2
20 questions
In partnership with Revision Ninja
Lesson 2.4, Composite functions: 20 multiple choice questions for the AQA GCSE Further Maths (8365), 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
-
In the composite function fg(x), which function is applied first?
- Both simultaneously
- Function f
- Function g
- Neither function
-
Let f(x) = x + 3 and g(x) = 2x. What is fg(x)?
- 2(x + 3)
- 2x + 6
- x + 6
- 2x + 3
-
With f(x) = x + 3 and g(x) = 2x, what is gf(x)?
- 2x + 3
- 2x + 6
- x + 6
- 2x + 9
-
Let f(x) = x^2 and g(x) = x + 1. What is fg(2)?
- 5
- 6
- 4
- 9
-
What process defines the formation of a composite function?
- Adding two functions
- Applying functions sequentially
- Dividing two functions
- Multiplying two functions
-
Let f(x) = 3x − 1 and g(x) = x/2. What is fg(4)?
- 2
- 5
- 5.5
- 11
-
Let f(x) = 3x − 1 and g(x) = x/2. What is gf(4)?
- 7/2
- 5
- 11/2
- 11
-
If h(x) = (2x + 1)^2 and h(x) = g(f(x)) with g(x) = x^2, what is f(x)?
- 2x + 1
- (2x + 1)^2
- x^2
- 2x
-
Let f(x) = x^2 + 1 and g(x) = √x. What is f(g(9))?
- 4
- 82
- 10
- 9
-
Let f(x) = 5 − x and g(x) = 2x + 3. Solve fg(x) = 0.
- x = 2
- x = 1
- x = −1
- x = 5
-
Let f(x) = x − 4 and g(x) = x^2. Which expression is gf(x)?
- x^2 − 8
- x^2 − 16
- x^2 − 4
- (x − 4)^2
-
Let f(x) = x + 2 and g(x) = 3x. What is ff(1)?
- 4
- 3
- 6
- 5
-
How many real solutions exist for fg(x) = gf(x) if f(x) = x + 1 and g(x) = 2x?
- One
- Infinitely many
- Zero
- Two
-
Let f(x) = 1/x and g(x) = x + 3. What is fg(−1)?
- 2
- 1/2
- −2
- −1/2
-
Let f(x) = 2x + 1 and g(x) = x^2 − 3. Solve fg(x) = 9.
- x = 3
- x = ±2
- x = ±√5
- x = ±√7
-
Let f(x) = √x and g(x) = x − 5. What is the domain of fg(x)?
- x > 5
- x ≥ 5
- x ≥ 0
- All real numbers
-
Let f(x) = x + k and g(x) = 2x. If fg(3) = 10, what is k?
- 6
- −4
- 2
- 4
-
Let f(x) = x^2 − 1 and g(x) = x + 2. What is gf(−1)?
- −1
- 1
- 2
- 0
-
Let f(x) = 2x and g(x) = x + 1. What is gf(3)?
- 6
- 9
- 8
- 7
-
Let f(x) = x − 2 and g(x) = x^2. Solve gf(x) = fg(x).
- x = 3/2
- x = −3/2
- x = 1
- x = 2
Related quizzes
- The basic processes of algebra Quiz · 2.1 · 20 questions
- Definition of a function Quiz · 2.2 · 20 questions
- Domain and range of a function Quiz · 2.3 · 20 questions
- Inverse functions Quiz · 2.5 · 20 questions
- Expanding brackets and collecting like terms Quiz · 2.6 · 20 questions
- Expand (a + b)^n for positive integer n Quiz · 2.7 · 20 questions
- Factorising Quiz · 2.8 · 20 questions
- Manipulation of rational expressions: Use of + – × ÷ for algebraic fractions with denominators being numeric, linear or quadratic Quiz · 2.9 · 20 questions
- Use and manipulation of formulae and expressions Quiz · 2.10 · 20 questions
- Use of the factor theorem for rational values of the variable for polynomials Quiz · 2.11 · 20 questions