Page 9 - ACE YR IGCSE A TOP APPR' TO ADD MATH

13. Given the functions f(x) = 1 − 3x and g(x) = ax + b, where a and b are constants.
2
2
If the composite function gf(x) is given by gf(x) = x − x + 6, find the values of a and b.
2
3

[4]
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14. A function f is defined by f(x) = |3x − 4| − 2, for −2 < x < 4.
(a) Sketch the graph of y = f(x).
Show the coordinates of the points where the graph meets the coordinate axes.

y

= – 1
2

x

[3]
(b) State the range of f.

[1]
(c) Solve the equation f(x) = 3.

[2]

Cambridge IGCSE
TM
6 Ace Your Additional Mathematics

Chapter 1 Add Math (1 to 12).indd 6 14/03/2022 12:16 PM