Matematika

Pertanyaan

suatu fungsi f di nyatakan dgn f(2x-1)= 4x+7 nilai f(-5) adalah
A. -5
B.-1
C. 1
D. 5

2 Jawaban

  • f(2x-1) = 4x+7
    misal 2x-1 = t maka x = t+1 / 2
    f(t) = 4(t+1 / 2) + 7
    f(t) = 2t+2+7
    f(t) = 2t + 9
    f(x) = 2x + 9
    f(-5) = 2(-5) + 9 = -10 + 9 = -1 (B)
    Semoga membantu
  • Misal:
    2x - 1 adalah p

    2x-1 = p
    2x = p+1
    x = (p+1)/2

    Jwb:
    f(p) = 4((p+1)/2)+7
    f(p) = 2(p+1)+7
    f(p) = 2p+2+7
    f(p) = 2p+9
    f(x) = 2x+9

    Jadi,
    f(-5) = 2x+9
    f(-5) = 2(-5)+9
    f(-5) = -10+9
    f(-5) = -1

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