Page 6 - Praktis Hebat 2021 - Additional Mathematics F4
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Additional Mathematics Form 4 Practice 1 Functions
28. Function f is defined by f : x → 2x – 3. Find (a) f
the function g if PL 3 x y
Fungsi f ditakrifkan oleh f : x → 2x – 3. Cari 1 –5
fungsi g jika 2 –3
(a) fg : x → 5x – 1 3 –1
2
(b) gf : x → 5x – 1 4 1
2
[4 marks / markah] 5 3
7 (b) f : x → 9 – x 2
29. Given the function h(x) = x , x ≠ 0 and gh(x) [4 marks / markah]
= 14 + x . Find PL 4
x
Diberi fungsi h(x) = 7 , x ≠ 0 dan gh(x) = 32. Verify the truth that each of the following
14 + x . Cari x function f(x) has the inverse function g(x).
x
PL 3
(a) g(x) Sahkan kebenaran bahawa setiap fungsi f(x)
(b) the possible values of x when hg(x) = yang berikut mempunyai fungsi songsang g(x).
gh(x) – 14 x + 4
3
nilai-nilai yang mungkin bagi x apabila (a) f(x) = 2x – 4, g(x) = 2
x
hg(x) = gh(x) – 14 (b) f(x) = + 2, g(x) = 3x – 6
3
3
[4 marks / markah] [4 marks / markah]
33. Find the inverse function for each of the
1.3 Inverse Functions TEXTBOOK following function. PL 3
Cari fungsi songsang bagi setiap fungsi yang
Fungsi Songsang pg. 20 –29
berikut.
30. In the arrow diagram below, the function f (a) f(x) = 7x – 2
maps x onto y. PL 3 (a) f(x) = 3x + 11
Dalam gambar rajah anak panah di bawah, [4 marks / markah]
fungsi f memetakan x kepada y.
34. Find the inverse function for each function
f
x y given. PL 3
Cari fungsi songsang bagi setiap fungsi yang
1 2 diberikan.
x
2 5 (a) f(x) = + 1
5
4
3 10 (b) f(x) = x + 2 , x ≠ – 2
[4 marks / markah]
Determine the value of 35. Find the inverse function for the function
Tentukan nilai bagi x – 1
(a) f (2) f(x) = x + 1 , x ≠ –1. Hence, find the value of
–1
–1
(b) f (5) f (–4). PL 3
–1
(c) f (10) Cari fungsi songsang bagi fungsi f(x) = x – 1 ,
–1
x + 1
[ 3 marks / markah] x ≠ –1. Seterusnya, cari nilai bagi f (–4).
–1
31. Determine whether each of the following [3 marks / markah]
function f has the inverse function. Give your 36. Find the function f(x) for each of the following
reason. PL 2
Tentukan sama ada setiap fungsi f yang berikut inverse function. PL 3
Cari fungsi f(x) bagi setiap fungsi songsang
mempunyai fungsi songsangan. Berikan sebab yang berikut.
anda. x – 1
(a) f (x) =
–1
2
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