Matematika

Pertanyaan

Fungsi invers f(x) = x² + 2x + 3

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  • Bab Fungsi
    Matematika SMA Kelas X

    f(x) = x² + 2x + 3
    y = x² + 2x + 3
    y - 2 = x² + 2x + 3 - 2
    y - 2 = x² + 2x + 1
    y - 2 = (x + 1)²
    (x + 1)² = y - 2
    x + 1 = √(y - 2)
    x = -1 +- √(y - 2)
    f(x)⁻¹ = -1 +- √(x - 2)

    f(x)⁻¹ = -1 + √(x - 2)

    atau

    f(x)⁻¹ = -1 - √(x - 2)

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