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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
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