Matematika

Pertanyaan

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butuh banget,pake cara yaaaaa,terimakasih

2 Jawaban

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  • jawab
    23. f(x) = 6/(x+3)
    g(x)= x²

    fog(x) = 6/(x²+ 3)
    y = 6/(x²+3)
    x² y + 3y = 6
    x² = (6 - 3y)/y
    x = √{(6 - 3y)/y}
    (fog)⁻¹(x) = √{(6- 3x)/(x)}
    domain  6- 3x/ x ≥ 0 dengan x ≠ 0
    (6-3x)(x) ≥ 0

    6-3x = 0 atau x = 0
    x= 2 atau x = 0
    garis bilangan

    ..(-)...(0)...(+)...(2)..(-)....
    hp  0 ≤ x ≤ 2 n x ≠ 0
    maka
    HP  0 < x ≤ 2

    24)
    f(x) = 3/x
    g(x) = x²
    (fog)⁻¹(3)=

    fog(x) = 3/x²
    (fog)⁻¹ (3/x²) = x
    3/x² = 3
    3x² = 3
    x = 1 atau x = - 1
    untuk x > 0 maka  (fog)⁻¹ (3)= 1


    25) f⁻¹(3)= 1 → f(1)= 3
    f(x) = (mx -5)/(3x+2)
    x = 1 → (mx -5)/(3x+2)= 3
    {m(1) - 5} / {3.1+2} = 3
    m- 5 / 5 = 3
    m -5 = 3(5) = 15
    m = 20