Matematika

Pertanyaan

jika fungsi g(x) = 2x - 4 dan (gof) (x) = 4x² - 20x + 26, nilai f(-1) adalah..

1 Jawaban

  • (gof)(x) = 4x² - 20x + 26
    g(f(x) = 4x² - 20x + 26
    2(f(x) - 4 = 4x² - 20x + 26
    2(f(x) = 4x² - 20x + 26 + 4
    2(f(x) = 4x² - 20x + 30
    f(x) = (4x² - 20x + 30)/2
    f(x) = 2x² - 10x + 15

    f(-1) = 2(-1)² - 10(-1) + 15
    f(-1) = 2(1) + 10 + 15
    f(-1) = 2 + 10 + 15
    f(-1) = 27

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