Lesson 2.8.1
2.8.1 Composite functions and inverse functions Quiz: Pearson Edexcel Maths, Unit 2
20 questions
In partnership with Revision Ninja
Lesson 2.8.1, Composite functions and inverse functions: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 2: Algebra and functions, 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
-
What notation represents applying function g first then function f?
- gf(x)
- f^{-1}(x)
- f(x)g(x)
- fg(x)
-
For fg(x) to exist, the range of g must be a subset of what?
- Range of f
- Domain of f
- Codomain of g
- Domain of g
-
Which type of function has a well-defined inverse function?
- One-to-many
- Many-to-one
- One-to-one
- Periodic
-
What graphical transformation reflects a function in the line y = x?
- Reflection in x-axis
- Inverse
- Rotation of 90 degrees
- Reflection in y-axis
-
If f(x) = 2x and g(x) = x + 3, what is fg(x)?
- 2x + 6
- x + 3
- 2x + 3
- 2x^2 + 6x
-
If f(x) = 2x and g(x) = x + 3, what is gf(x)?
- 4x + 3
- 2x + 3
- 2x + 6
- 2x^2 + 3
-
What is the inverse of f(x) = 3x - 5?
- (x + 5)/3
- 3x + 5
- 1/(3x - 5)
- (x - 5)/3
-
What is the domain of the inverse function f^{-1}(x)?
- Range of f
- Range of f^{-1}
- Real numbers
- Domain of f
-
If f(x) = x^2 with domain x >= 0, what is f^{-1}(x)?
- x^2
- 1/x^2
- sqrt(x)
- -sqrt(x)
-
What is the value of ff^{-1}(x) for any valid x?
- x
- 0
- 1
- f(x)
-
Which condition must be met for fg(x) to equal gf(x)?
- Distributive
- Commutative
- Invertible
- Associative
-
What is the inverse of f(x) = e^x?
- ln(x)
- e^{-x}
- log_10(x)
- 1/e^x
-
If f(x) = 4 - x, what is ff(x)?
- 4 - x
- x - 4
- x
- 16 - x
-
What is the inverse of f(x) = x^3 + 2?
- (x - 2)/3
- x^3 - 2
- cbrt(x) - 2
- cbrt(x - 2)
-
Can a many-to-one function have an inverse without domain restriction?
- Sometimes
- Always
- Yes
- No
-
If the range of f is y > 3, what is the domain of f^{-1}?
- y > 3
- x > 3
- x > 0
- x < 3
-
What is the inverse of the self-inverse function f(x) = 1/x for x != 0?
- -1/x
- 1/x
- x
- x^2
-
If f(x) = 3x and g(x) = x - 2, solve fg(x) = 15.
- 7
- 3
- 5
- 17
-
What is the derivative of the composite function fg(x) using the chain rule?
- f'(x)g'(x)
- f'(g(x))
- f(g'(x))
- f'(g(x))g'(x)
-
If f(x) = 2x + 1 and f(g(x)) = 4x + 5, what is g(x)?
- 4x + 2
- 2x + 4
- 2x + 2
- x + 2
Related quizzes
- Laws of indices for all rational exponents Quiz · 2.1.1 · 20 questions
- Surds and rationalising the denominator Quiz · 2.2.1 · 20 questions
- Quadratic functions, graphs and the discriminant Quiz · 2.3.1 · 20 questions
- Simultaneous equations in two variables Quiz · 2.4.1 · 20 questions
- Linear and quadratic inequalities Quiz · 2.5.1 · 20 questions
- Polynomials, factor theorem and algebraic division Quiz · 2.6.1 · 20 questions
- Graphs of functions, polynomials and modulus Quiz · 2.7.1 · 20 questions
- Transformations of the graph of y = f(x) Quiz · 2.9.1 · 20 questions
- Partial fractions Quiz · 2.10.1 · 20 questions
- Functions in modelling Quiz · 2.11.1 · 20 questions