Page 72 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 4.7

1. 6. fx = x + 1
()
x − 2x + 5
2
FOR ONLINE READING ONLY
5
7. k =
3

2
8. x =± 4 or x =±

9. x -intercept ( , ) (1, 0)xy =
 1 
Domain { :xx= ∈ } y -intercept ( , )xy =   0, − 2  
=
Range { :yy ∈ , y ≥ 5} Vertical asymptote x = − 2
x
x
()
2. ()gx = − 3 and gx = − + 1 Horizontal asymptote y = 1
4
2
10. (a)3x +
3. ( f g )( ) {(3, 6)}x =
(b) 9x + 2 24x + 16
4.

10 2 3−  10 2 3  +
5. 3x 3x + or − 3x− 3x −  
2 3   2 3  
1
2
x
11. (a) x − + 1 (b) 7.5
4
(
(
12. (a) f ! g) x ( ) = x + 9 and g ! f ) x ( ) = x + 9

(
(
2
(b) f ! g) x ( ) = x + 2 and g ! f ) x ( ) = x + 2
2

(
(
(c) f ! g) x ( ) = −9x +19 and g ! f ) x ( ) = 3− 9x

66
Mathematics for Advanced Secondary Schools
30/06/2024 18:02:06
ADVANCED MATH F.5 TG CHAPTERS.indd 66 30/06/2024 18:02:06
ADVANCED MATH F.5 TG CHAPTERS.indd 66