Matematika

Pertanyaan

diketahui fungsi f(x)=ax+b.jika f(-1)=-7 dan f(4)=18,tentukan: a)nilai a dan b
b)rumus fungsi f(x)
c)nilai f(-3)dan f(7)
d)nilai k sehingga f(k)=8

1 Jawaban

  • f(x) = ax + b

    f(-1) = -1a + b = -7
    f(4) = 4a + b = 18
    ______________ -
    = -5a = -25
    = a = -25/-5
    = a = 5
    -1a + b = -7
    -1.5 + b = -7
    -5 + b = -7
    b = -2

    a) a = 5 , b = -2
    b) Rumus fungsi f(x) = 5x + (-2)
    c) f(-3) = 5.-3 + (-2) = -17
    f(7) = 5.7 + (-2) = 33
    d) nilai k
    f(k) = 5k + (-2) = 8
    = 5k = 10
    = k = 10/5
    = k = 2

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