Page 17 - Top Class Additional Mathematics Tg 4

Additional Mathematics Form 4 Chapter 1 Functions

SPM Practice 1

Paper 1 5. Given the functions m : x → px + 3, h : x → 4x – 1 and
SPM mh(x) = 4px + q, express p in terms of q.
2016
Diberi fungsi m : x → px + 3, h : x → 4x – 1 dan
1. The diagram shows the composite function fg that maps a mh(x) = 4px + q, ungkapkan p dalam sebutan q.
SPM to c.
2015 [3]
Rajah di bawah menunjukkan fungsi gubahan fg yang Ans: p = 3 – q
memetakan a kepada c.
fg
6. It is given the functions
SPM Diberi fungsi
2016
a b c g : x → 4x + 1
fg : x → 16x + 8x – 5
2
Find / Cari
–1
State / Nyatakan (a) g (x),
(a) the function that maps a to b, (b) f(x).
fungsi yang memetakan a kepada b, x – 1 [3]
–1
–1
(b) f (c). Ans: (a) g (x) = 4
[2] (b) f(x) = x – 6
2
Ans: (a) g
(b) f (c) = b
–1
7. The diagram shows the graph of the function
SPM f : x → |1 – 3x| for the domain –1 < x < 3.
2017
2. Given the functions f(x) = 5x + 1 and g(x) = mx – n, where Rajah di bawah menunjukkan graf bagi fungsi
f : x → |1 – 3x| untuk domain –1 < x < 3.
SPM m and n are constants, express m in terms of n such that
2015 f(x)
fg(2) = 1.
Diberi fungsi f(x) = 5x + 1 dan g(x) = mx – n, dengan keadaan 8
m dan n ialah pemalar, ungkapkan m dalam sebutan n dengan
keadaan fg(2) = 1. (–1, 4)
[3]
1
Ans: m = n 0 3 x
2
State / Nyatakan
3. It is given the function f : x → 8x – 4. Find
SPM Diberi fungsi f : x → 8x – 4. Cari (a) the object of 8,
2016 objek bagi 8,
(a) the value of x if f(x) maps onto itself, (b) the image of 2,
nilai x jika f(x) memeta kepada dirinya sendiri, imej bagi 2,
(b) the value of h if f(3 – h) = 4h. (c) the domain of 0 < f(x) < 2.
nilai h jika f(3 – h) = 4h. domain bagi 0 < f(x) < 2.
[4]
4 [3]
Ans: (a) x = Ans: (a) 3
7
5 (b) 5
(b) h = 3 1

(c) – < x < 1
3
4. It is given the function g : x → 3x – 9. Find
SPM Diberi fungsi g : x → 3x – 9. Cari
2017 8. Given the functions g : x → 3x – 1 and h : x → 6x, find
(a) g (x), Diberi fungsi g : x → 3x – 1 dan h : x → 6x, cari
–1
4p
(b) the value of p if g 2   = 24. (a) hg(x),
3
1
4p (b) the value of x if hg(x) = g(x).
nilai p jika g   = 24. 1 3
2
3
[4] nilai x jika hg(x) = g(x).
3
x + 9 [4]
–1
Ans: (a) g (x) = Ans: (a) hg(x) = 18x – 6
3
(b) p = 5 (b) x = 1
3
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