Matematika

Pertanyaan

persamaan fungsi didefinisikan dengan rumus f(x)=mx + n. jikaf(3)= -10 dan f(-2)=0 maka nilai (-7) adalah

2 Jawaban

  • f(3) = 3(m) + n = -10
    f(-2) = -2(m) + n = 0
    ________________ -
                     5m = -10
                     m = -2

    3(-2) + n = -10
    -6 + n = -10
    n = 4

    f(-7) = -2(-7) + 4
            = 14 + 4
            = 18
  • dik : f(3) = -10
    f(-2)= 0
    f(x) = mx + n
    dit: f(-7)
    jawab :
    f(3) = m(3)+ n
    -10 = 3m + n ............ (1)


    f(-2) = m(-2)+n
    0 = -2m + n ............ (2)

    eliminasi
    3m + n = -10
    -2m + n = 0
    ___________ _
    5m = -10
    m = -2

    substitusikan nilai m ke pers. 1
    -10 = 3(-2) + n
    -10 = -6 + n
    n = -4

    f(-7) = m(-7)+n
    f(-7) = -2(-7) -4
    f(-7) = 14 -4
    f(-7) = 10

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