Matematika

Pertanyaan

diketahui f(x)=mx+n. jika f(-1)=1 ,dan f(3)=9, maka f(1)-f(4) adalah

1 Jawaban

  • f(x) = mx + n
    f(-1) = 1
    m(-1) + n = 1
    -1m + n = 1
    f(3)= 9
    m (3) + n = 9
    3m + n = 9
    -1m + n = 1
    3m + n = 9 - ( dikurangi )
    -4 m = - 8
    m = -8 / -4
    m = 2
    substitusikan
    -1m + n = 1
    -1(2) + n = 1
    -2+ n = 1
    n = 1 + 2 = 3

    F(1) = 2x + 3
    2 (1) + 3 = 2 + 3
    = 5
    F (4 ) = 2x + 3
    2(4) + 3 = 8 + 3
    = 11

    F(1) - F(4) = 5 - 11
    = -6 《-6》

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