Page 5 - Praktis Hebat 2021 - Additional Mathematics F4

Additional Mathematics Form 4 Practice 1 Functions
(a) f(x) = 4x – 3, fg(x) = 20x – 3
1.2 Composite Functions TEXTBOOK (b) f(x) = 7x + 1, fg(x) = 7x + 1
2
Fungsi Gubahan pg. 12 –19
[4 marks / markah]
16. Function f and function g are defined by f : x 22. Find function g based on the function f and
→ 2x – 3 and g : x → 4x – 1 respectively. Find composite function gf given. PL 3
the expression for PL 3 Cari fungsi g berdasarkan fungsi f and fungsi
Fungsi f dan fungsi g adalah masing-masing gubahan gf yang diberikan.
ditakrifkan oleh f : x → 2x – 3 dan g : x → 4x (a) f(x) = 2x, gf(x) = 18x – 2
– 1. Cari ungkapan bagi (b) f(x) = 4x, gf(x) = 16x – 1
2
(a) fg [4 marks / markah]
(b) gf
[4 marks / markah] 23. Given f(x) = 5x – 3 and fg(x) = 17 – 5x, find
PL 4
17. Given that f : x → 4x + 1 and g : x → 2x – 7. Diberi f(x) = 5x – 3 dan fg(x) = 17 – 5x, cari
Find the expression for PL 3 (a) g(x)
Diberi f : x → 4x + 1 dan g : x → 2x – 7. Cari (b) g(–3)
ungkapan bagi (c) the value of x when f(x) = g(x)
(a) f 2 nilai x apabila f(x) = g(x).
(b) g 2 [4 marks / markah]
[4 marks / markah]
24. Given that g(x) = 7x – 2 and fg(x) = 7 x. Find
18. Given that f : x → px + q and f : x → 25x – 6 2
2
such that p and q are constants. Find the value Diberi bahawa g(x) = 7x – 2 and fg(x) = 7 x.
of both constants. PL 3 Cari PL 4 2
Diberi f : x → px + q dan f : x → 25x – 6 (a) f(x)
2
dengan keadaan p dan q ialah pemalar. Cari (b) the value of x when f(x) = fg(x).
nilai bagi kedua-dua pemalar tersebut. nilai x apabila f(x) = fg(x).
[3 marks / markah] [3 marks / markah]

19. Two functions g and h are defined by g : x → 25. Given that h(x) = mx + n, m . 0 and h (x) =
2
3x + 5 and h : x → 5x – 2. Find the value of x 25x + 12. Find the value of m and n. PL 4
when PL 4 Diberi bahawa h(x) = mx + n, m . 0 dan h (x)
2
Dua fungsi g dan h ditakrifkan oleh g : x → 3x = 25x + 12. Cari nilai m dan n.
+ 5 dan h : x → 5x – 2. Cari nilai x apabila [4 marks / markah]
(a) gh(x) = g(x)
(b) g (x) = h (x) 26. Given that f(x) = x + 8, g(x) = 8 – 3x and gf(x)
2
2
2
[4 marks / markah] = (p – 1) x – q . Find PL 4
Diberi bahawa f(x) = x + 8, g(x) = 8 – 3x dan
2
20. Given g(x) = 2 – x and h(x) = 5x – 1. Find gf(x) = (p – 1) x – q . Cari
3
the value of x if gh(x) = g(x). PL 4 (a) the value of p.

nilai p.
Diberi g(x) = 2 – 3 x dan h(x) = 5x – 1. Cari (b) the possible values of q.
nilai x apabila gh(x) = g(x). nilai-nilai q yang mungkin.
[3 marks / markah] [4 marks / markah]
21. Find function g based on the function f and 27. Given the function h(x) = px + q and h (x) =
2
composite function fg given. PL 3 9x – 4. Find the possible values of p and q.
Cari fungsi g berdasarkan fungsi f dan fungsi Diberi fungsi h(x) = px + q dan h (x) = 9x – 4.
2
gubahan fg yang diberikan. Cari nilai-nilai p dan q yang mungkin. PL 3
[3 marks / markah]

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01 HEBAT ADD MATH F4 1P.indd 3 09/04/2021 5:28 PM