Page 49 - E-MODUL Fungsi komposisi dan fungsi invers
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3.        f o g (x) = f (g (x))

                                  f (g (x)) = 4x – 2

                                      2
                                  f (    + 1) = 4x – 2
                                              2
                                  f (x) = 4 (    + 1)  – 2
                                                 2
                                            = 4    + 4 – 2                                         20
                                                 2
                                            = 4    + 2
                                  Jika f (n) = 18 , maka

                                  f (n) = 18

                                     2
                                  4    + 2 = 18
                                     2
                                  4   = 18 – 2
                                     2
                                  4    = 16
                                       16
                                   2
                                      =
                                        4
                                   2
                                      = 4

                                     = √4

                                  n = 2

                                  jadi, nilai n adalah 2.

                        4.        a.  f o g (x) = f (g(x))

                                            = f (3x)

                                            = 2 (3x) + 4

                                            = 6x + 4

                                    ((f o g) o h) (x) = f o g (h(x))

                                                               2
                                                   = f o g (2    - 1)
                                                           2
                                                   = 6 (2    - 1)  + 4
                                                          2
                                                   = 12    – 6 + 4
                                                          2
                                                   = 12    – 2                                     10










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