Question 11 — IGCSE 0580 March 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 10 marks.
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Question text
11 f(x) = 2x-1 g(x) = 3x+2 h(x) = 1, x ! 0 j(x) = x2
x
(a) Find j(-1).
................................................. [1]
(b) Find x when f(x)+g(x) = 0 .
x = ................................................ [2]
(c) Find gg(x), giving your answer in its simplest form.
................................................. [2]
(d) Find hf(x)+gh(x), giving your answer as a single fraction in its simplest form.
................................................. [4]
(e) When pp(x) = x,p(x) is a function such that p -1(x) = p(x).
Draw a ring around the function that has this property.
1
f(x) = 2x-1 g(x) = 3x+2 h(x) = , x ! 0 j(x) = x2
x
[1]
© UCLES 2023 0580/42/F/M/23
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