Matematika

Pertanyaan

Diketahui f(x)=ax+b. Jika f(2) =4 dan f(-3)=-11, nilai f(1)=

2 Jawaban

  • jawab

    f(2)= 4
    f(-3) = -11 .....(-)
    (2+3)a = 15
    5a = 15
    a= 5

    f(2) = 4
    b = 4 - 2a  = 4 - 10
    b = -6

    f(x) = 5x - 6
    f(1) = - 1


  • [tex]f(2) = 4 \\ 2a + b = 4 \\ f( - 3) = - 11 \\ - 3a + b = - 11 \\ dieliminasi \: menghasilkan \: 5a = 15 \\ a = 3 \\ \\ 2a + b = 4 \\ 6 + b = 4 \\ b = - 2[/tex]
    f(x) = ax + b
    f(x) = 3x - 2
    f(1) = 3 - 2 = 1

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