Question 11 — IGCSE 0580 Oct/Nov 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 14 marks.
Open in interactive question bank →
Question text
11 f(x) = 1-3x g(x) = (x-1)2 h(x) = 3, x ! 0
x
(a) Find g(3).
................................................. [1]
(b) Find f(x-2), giving your answer in its simplest form.
................................................. [2]
(c) Find f
-1(x).
f -1(x) = ................................................ [2]
(d) gf(x)-g(x)f(x) = 3x3+ax2+bx+c
Find the value of each of a, b and c.
a = ................................................
b = ................................................
c = ................................................ [5]
© UCLES 2023 0580/42/O/N/23
17
(e) Find h(x)-f(x), giving your answer as a single fraction in its simplest form.
................................................. [3]
(f) h(xn) = 3x7
Find the value of n.
n = ................................................ [1]
© UCLES 2023 0580/42/O/N/23 [Turn over
18
Mark scheme
