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Form Five Form Five
8. (a) f gx ( ) {(2, 2), (3, 2)}= − (b) g fx ( ) {(3, 1), (4, 6)}.=
9. (a) f gx ( ) {(7,12),( 1,19),(9,15)}= − (b) g fx ( ) {(1,3),(2,4)}=
FOR ONLINE READING ONLY
10. (a) f gx = ( ) x − 2 6x + 10 (b) g fx = () x + 2 2x − 2
(c) g f hx ( ) cos x= 2 + 2cos x − 2
5
11. ()fx = ± 3x −
4
− 2x + 14
13. (a) ( f g )()x = (c) ( f g )(3) 8=
x − 2
5 5
(b) ( g f )()x = (d) ( g f )()x =
2x − 4 4
(e)
Domain = { :xx∈ , x ≠ } 2
Range = { :yy ∈ , y ≠ } 0
33x− 1
14. x =± 2.91 15. (a) (b)
x + 4x + 4 4
2
16. (a) 2 (b) 4
81
Mathematics for Advanced Secondary Schools
30/06/2024 18:02:16
ADVANCED MATH F.5 TG CHAPTERS.indd 81 30/06/2024 18:02:16
ADVANCED MATH F.5 TG CHAPTERS.indd 81