Matematika

Pertanyaan

Fungsi f:x->(2m+1)x-5m, diketahui f(4)=-2 carilah
a. Tentukan m
b. Tentukan rumus f(x)
c. Tentukan f(4)-f(-2)

1 Jawaban

  • a) f(x) = (2m + 1)x - 5m
    f(4) = (2m + 1)4 - 5m = - 2
    8m + 4 - 5m = - 2
    3m = - 2 - 4
    3m = - 6
    m = - 2

    b) f(x) = (2m + 1)x - 5m
    f(x) = (2•-2 + 1)x - 5(-2)
    f(xl = ( -4 + 1)x + 10
    f(x) = - 3x + 10

    c) f(4) = - 3(4) + 10 = - 12 + 10 = - 2
    f(-2) = - 3(-2) + 10 = 6 + 10 = 16
    f(4) - f(-2) = - 2 - 16 = - 18

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