Question 9 — IGCSE 0580 Oct/Nov 2023 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 15 marks.
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Question text
9 f(x) = (3x+1)(x+5)(x-4) g(x) = 2x-3 h(x) = 42x-1
(a) Find
(i) f(0)
................................................. [1]
(ii) g
-1(x)
g -1(x) = ................................................ [2]
(iii) gh(2).
................................................. [2]
(b) g(2x) = 7
Find the value of x.
x = ................................................ [2]
(c) Simplify g(x2)+gg(x)+1.
................................................. [3]
© UCLES 2023 0580/41/O/N/23
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(d) Find h
-1(16).
................................................. [2]
(e) f(x) = (3x+1)(x+5)(x-4)
This can be written in the form f(x) = ax3+bx2+cx+d.
Find the value of each of a, b, c and d.
a = ................ b = ................ c = ................ d = ................ [3]
© UCLES 2023 0580/41/O/N/23 [Turn over
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