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Pertanyaan

Jika diketahui rumus fungsi f left parenthesis x right parenthesis space equals space a x space plus space b comma space f left parenthesis negative 1 right parenthesis space equals space 7 comma space f left parenthesis 2 right parenthesis space equals space 1, maka nilai f left parenthesis negative 2 right parenthesis= ...

  1. 9

  2. 8

  3. 7

  4. 6

  5. 5

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

straight f left parenthesis straight x right parenthesis space equals space ax plus straight b  straight f space left parenthesis negative 1 right parenthesis space equals space 7 space rightwards arrow space minus straight a plus space straight b space equals space 7 space... space left parenthesis straight i right parenthesis  straight f space left parenthesis 2 right parenthesis equals 1 rightwards arrow space 2 straight a plus straight b space equals space 1... left parenthesis ii right parenthesis

Eliminasikan ke persamaan (i) dan (ii)

negative space straight a plus straight b space equals space 7 space  2 straight a space plus space straight b space equals space 1  rightwards double arrow negative 3 straight a space equals space 6 space  rightwards double arrow straight a space equals negative 2

Substitusikan space straight a space equals space minus 2 ke persamaan (i) dan (ii)

negative space left parenthesis negative space 2 right parenthesis plus straight b space equals space 7 space  2 plus straight b space equals space 7 space left right double arrow space straight b space equals space 5 space  straight f left parenthesis straight x right parenthesis space equals negative 2 straight x plus 5 space  straight f left parenthesis negative space 2 right parenthesis space equals space minus space 2 left parenthesis negative space 2 right parenthesis plus 5 space equals 4 plus 5 space equals 9

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