Page 290 - Matematik Tambahan Tingkatan 5 KSSM

2. 4x – 1 3. 1 – 2x 2.2
Latihan Formatif
2.1
Latihan Formatif 6 1 18
1. (a) (i) 8 (ii) 3 (iii) 0 1. (a) 18x + x 3 (b) x 2 – x 4
(iv) –1 (v) 0 (vi) 3 2 5 1
(b) –1, 5 (c) 5 + ! x (d) – ! x 3 – 3 ! x 4
(c) (i) 2x – 4 (ii) 4
1 (e) 4x – 6 – 18 (f) 12! x + 1
3
2. (a) 9 (b) 2 (c) – x 3
18 2! x
3
(d) 3 (e) 2 (f) 4 1 3
10 (g) – 4 – π (h) – ! x
KEMENTERIAN PENDIDIKAN MALAYSIA
1
3. (a) 2 (b) – (c) – 4 3x ! x 2
6 7
4. (a) k = 4 (b) 5 2. 8 8 5
5. (a) 5 (b) 2x – 1 (c) 2x + 2 (d) – 1 2 3. (a) 6t (b) 16t 3 (c) 1
3
6. 7 ms –1 4x 4. 6t + 5, t , – 5 2
6
Latihan Kendiri 2.3
6 5. a = 5, b = – 4

9
1. (a) 8x (b) –8x (c) – x 9 6. (1, 6)
3
2 8 2
(d) – (e) – 7. (a) h(x) = 3kx – 8x – 5 (b) 7
3 ! x 4 3 ! x 1 x 3
)
8. (a) ( – 1 (b) 5(10x – 3) 5
2 1 2 6
2. (a) 8x + 6 (b) – (c) 32x – 72 40 1 1 2
(
5! x ! x 3 (c) (2 – 5x) 2 (d) 3 1 + x 2)( x – x )
3. (a) 40x – 10! x (b) 4x + 8 – 32 3 3 x + 3
3
3
x
(c) 5 – 6! x + 1 (e) 3 ! (3 – 9x) 4 (f) ! x + 6x + 6
2
2! x 2! x 3 9. –144 10. a = 9, b = 4
1
4. (a) –1 (b) – 4 (c) –1 11. (a) 4(12x – 1)(2x – 1) 4 (b) x (33x + 4)(3x + 1) 6
3
6
Latihan Kendiri 2.4 (c) 3(x + 2) (d) 4(2x – 1)(x + 7) (x – 5) 2
4
1. (a) 5(x + 4) 4 (b) 8(2x – 3) 3 2! x + 3
2
(c) – 6(6 – 3x) 5 (d) 56x(4x – 5) 6 (e) – 1 (f) 2x + 1
)
4 1 7 ! x (1 + ! x ) 2 ! (4x + 1) 3
(e) ( x + 2 (f) –12(5 – 2x) 8
3 6 2 2(x + 1) 6x – 4x – 1
2
3
(g) – 3(2x + 1)(1 – x – x ) (h) – 20(3x – 2) (g) – (x + 2x + 7) 2 (h) (x – 1) 2
2 2
2
3
(2x – 4x + 1) 11
3 6 4 + 6x – 4x 2 3
2. (a) – (b) – 13. , , x , 2
(3x + 2) 2 (2x – 7) 4 (x + 1) 2 4
2
100 30
(c) (d) – 14. x , –1
(3 – 4x) 6 (5x – 6) 9
1 3 Latihan Kendiri 2.6
(e) (f) –
2
3
! 2x – 7 2! 6 – 3x 1. (a) 12x – 10x + 2, 36x – 10
3x 2x – 1 2 4
(g) (h) (b) 8x + , 8 –
2
! 3x + 5 2! x – x + 1 x 2 x 3
2
7
1 (c) 24(3x + 2) , 504(3x + 2) 6
3. (a) 2 744 (b) – (c) –2
2 2. (a) 1 – 2 , – 1 + 6 (b) 2x – 4 , 2 + 12
Latihan Kendiri 2.5 2! x x 3 4x 3 2 x 4 x 3 x 4
3
2
2
1. (a) 60x + 24x (b) –8x – 6x (c) – 7 , 14
2
2x(1 – 3x ) (x – 1) 2 (x – 1) 3
(c) 2x(1 – 12x)(1 – 4x) 3 (d) 3. (–3, 29) dan (1, –3), –12, 12
! 1 – 2x 2
(e) 8(7x – 1)(2x + 7) 5 (f) (7x + 8)(x + 5) (x – 4) 3 Latihan Formatif 2.3
2
2. (a) –2(9x + x – 3) (b) 3x + 2 + 4 3 2. (a) –3, –12 (b) 9, 24 (c) 0, 2
2
2
2
3
4
(c) 5x – 8x + 24x – 10x + 10 x 3. 3 , – 4. – , 1 5. 2
5
1
13 41 2 8 3
3. 4.
4
1
4 5 6. (a) – , 2 (b) 6x – 2 (c) 1 (d) x ,
5. (a) – 6 (b) 18 3 3 3
(2x – 7) 2 (4x + 6) 2
8x(1 – 3x) 4x – 3x – 2 Latihan Kendiri 2.7
3
2
(c) (d) 1. (a) (i) –7, 8
(1 – 6x) 2 (2x – 1) 2
1
1 – x x – 2 (ii) Pada x = , garis tangen condong ke kiri.
(e) (f) 4
2! x (x + 1) 2 2! (x – 1) 3 Pada x = 1 pula, garis tangen condong ke kanan.
6x(x + 3) 6x + 3x + 14
2
2
1
(g) (h) – (b) ( ) ( 1 )
, 6 , – , –6
2
2
! (2x + 3) 3 (! 4x + 1 )! (3x – 7) 3 3 3
6. 13 2. (a) a = 2, b = 4
(b) (1, 6)
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