Matematika

Pertanyaan

diketahui f(×)=ax+b. jika f(-1)= -8 dan f(2)= 13, nilai f(5)=

2 Jawaban

  • f(-1) = a(-1)+b = -8
    .......= -a+b = -8
    f(2) = a(2)+b = 13
    .......= 2a+b = 13

    -a+b = -8
    2a+b = 13
    -------------- --
    -3a = -21
    ....a = 7
    -
    -7+b = -8
    ......b = -1

    f(x) = 7x+(-1) = 7x- 1
    f(5) = 7(5)- = 35-1 = 34
  • Diketahui
    f(x)  = ax+b
    f(-1) = -1a + b = -8
    f(2)  = 2a + b = 13

    *Eliminasi b

    -1a + b =  -8
     2a + b = 13
    ---------------- (-)
    -3a      = -21
       a      = -21 : -3
               = 7

    *Substitusikan a ke salah satu persamaan
    2a + b = 13
    2(7) + b = 13
    b = 13 - 14
    b = -1

    maka, a = 7 dan b = (-1)

    f(5) = 5a + b
           = 5(7) + (-1)
           = 34

    Mohon maaf jika ada kesalahan

Pertanyaan Lainnya