Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 8
18 practice questions
Practice questions
11–18 of 18
Question 11
4 marks · Normal
Answer and see the solution →The function f is defined by f(x) = 4x + 1.
a) Show, by algebraic method, how to find the inverse function f^{-1}(x).
b) Use your result to find f^{-1}(13).
(a)[3 marks]Show, by algebraic method, how to find the inverse function f^{-1}(x).
(b)[1 mark]Use your result to find f^{-1}(13).
Question 12
4 marks · Normal
Answer and see the solution →The following table gives the mapping from numbers in set P to set Q.
Mapping Table P Q 1 −2 2 0 3 2 4 4 For this mapping:
(a)[1 mark]Is this mapping a function? Give a reason.
(b)[2 marks]Write down the domain and range of the mapping.
(c)[1 mark]Is this function one-to-one or many-to-one? Explain.
Question 13
2 marks · Normal
Answer and see the solution →Let f(x) = 2x + 3. State the domain and the range of f when the domain is {−2, 0, 4}.
Question 14
3 marks · Normal
Answer and see the solution →Given f(x) = 2x − 1 and g(x) = x^2. Find the value of gf(4).
Question 15
3 marks · Normal
Answer and see the solution →Given the function k(x) = 3x − 4, explain step by step how to find its inverse, and then write down k^{-1}(x).
Question 16
2 marks · Hard
Answer and see the solution →Let . Write down the equation of the inverse function .
Question 17
4 marks · Hard
Answer and see the solution →A function is defined by .
Let the function be defined by .
Calculate the value of the composite function . Show your working.
Question 18
4 marks · Hard
Answer and see the solution →Consider the function with domain .
Explain how you determine the range of . Then write down the range.