27 April 2014

Relasi dan Fungsi

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Suatu  fungsi ditentukan dengan rumus   f(x) = ax + b. 
Jika  f(2) = 13 dan f(5) = 22, tentukanlah persamaan tersebut :
Penyelesaian :

                             f(2) = 13                 f(5) = 22
                        2a + b = 13                  5a + b = 22
                                b = 13 – 2a          5a + (13 – 2a) = 22
                                                               5a + 13 – 2a = 22
                                                                5a – 2a + 13 = 22
                                                                 3a              = 22 – 13
                                                                 3a                 = 9
                                                                                  a = 3
                                b = 13 – 2a
                                    = 13 – 2.3
                                 b = 7       maka f(x) = 3x + 7