Page 14 - PRAKTIS HEBAT ADDMATHS TG4

Additional Mathematics Form 4 Answers

Pract ice Functions 21. a = 2, b = –5; a = –2, b = 15
spm 1 Fungsi 22. (a) g(x) = 4x (b) hg(x) = 8x – 3
3q + 1
23. p = —––––
2
PAPER 1 24. –1
1. (a) {4, 6, 8} 25. (a) g(x) = 4x 2 (b) g(x) = 3x – 4
(b) one-to-one relation/ hubungan satu kepada satu 26. p = 5 – 2q
2. (a) square of 27. a = –b + —
5
kuasa dua bagi 3 x – 1 x – 1
28. (a) g : x → —––– or/ atau g(x) = —–––
1 1 2 2
(b) f(x) = 8x – 3
2
2 4
x – 5
3 9 29. f (x) = —–––
–1
2
4 16 x + 4
30. (a) h (x) = —–––
-1
9
(b) –13
x + 6
–x – 3
(b) The type of the relation is one-to-one relation. It 31. (a) f (x) = —––– (b) g (x) = —––––
–1
–1
1 – x
4
is a function. 32. 3
Jenis hubungan itu ialah hubungan satu kepada 33. (a) f(x) = 3 – 4x (b) 3
satu. Hubungan itu ialah satu fungsi.
x + 5
3. This graph is not a function because when tested with 34. (a) g (x) = —–––
–1
4
the vertical line test, the line cuts two points on the 7
graph. (b) —
2
Graf ini bukan fungsi kerana apabila diuji dengan 35. Has no inverse function because when the horizontal
ujian garis mencancang, garis itu memotong dua titik line test is performed, the horizontal line cuts the
pada graf. graph f at two points.
4. (a) 6 Tidak mempunyai fungsi songsang kerana apabila
(b) {–1, 0, 1, 2, 3, 4} ujian garis mengufuk dilakukan, garis mengufuk
(c) {–1, 1, 2, 4} memotong graf f pada dua titik.
5. 2 36. (a) f
6. f : x → x or/ atau f(x) = x 2 (b) g (c) = b
2
–1
3
7. x = 4, x = – —
2 37. f(x)
8. (a) p = 3, q = –8
(b) 4 f(x) = 6x – 3
2
9. (a) –4 < x < 2
(b) 1 0 x
(c) 2 0.5
10. (a) –10 (b) 3 –1.5
11. (a) 26 (b) x = 0, x = –2
5
17
12. (a) — (b) —
3 3 f(x) has inverse function because when the horizontal
13. (a) 6 (b) 7 line test is performed, the horizontal line cuts the
(c) –2 < x < 5 graph f(x) at one point only.
14. (a) 1 500 (b) 28 f(x) mempunyai fungsi songsang kerana apabila ujian
2
2
15. (a) fg(x) = 3x – 21 (b) gf(x) = 9x – 7 garis mengufuk dilakukan, garis mengufuk memotong
16. 8 graf f(x) pada satu titik sahaja.
17. 5 x – 1
3
2
–1
18. – — 38. (a) g (x) = —––– (b) f(x) = x – 2
2
2 x + 4
–1
3
19. (a) fg(x) = 10x + 11 39. (a) h (x) = —––– (b) 2
gf(x) = 10x + 1
9
(b) — PAPER 2 10
10 1. (a) (i) –5 (ii) —
2
20. (a) gf(x) = 10 – 33x (b) — (iii) gf(x) = 37 – 21x 3
3
A1 © Penerbitan Pelangi Sdn. Bhd.