Matematika

Pertanyaan

F(x) = x² + 6x - 18 tentukan x jika f-¹ (x) = 2

1 Jawaban

  • F(x) = x² + 6x - 18
    y = x² + 6x - 18
    x² + 6x = y + 18
    (x² + 6x + 9) = y + 18 + 9
    (x + 3)² = y + 27
    x + 3 = + √y + 27
    x = -3 + √y + 27
    f-¹(x) = -3 + √x + 27

    tentukan x

    jika f-¹ (x) = 2

    f-¹(x) = -3 + √x + 27
    2 = -3 + √x + 27
    2 + 3 = √x + 27
    5 = √x + 27
    5² = x + 27
    25 = x + 27
    x = 25 - 27
    x = -2

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