Matematika

Pertanyaan

1. G(x) = 2x / x + 5; x ≠ -3. Invers fungsi G(x)?
2. F(x) = 5x - 3, G(x) = 3x + b, dan f (G {0}) = 1, maka nilai G(2)?
3. (H∧-1 0 G∧-1 0 f∧-1) (x) = x-2 / 2 dan (F {0G}) (x) = 2x + 5. Inlaid dari h (1)?

1 Jawaban

  • Langsung aja y

    nomor 1 dan 2 aja y kak, nomor 3 gak paham

    1.
    g(x) = 2x / (x+5)
    y = 2x / (x+5)
    y(x+5) = 2x
    xy + 5y = 2x
    2x - xy = 5y
    x(2-y) = 5y
    x = 5y / (2-y)

    g`¹(x) = 5x / (2-x)

    2.
    f{g(0)} = 5{g(0)} - 3

    1 = 5{3(0) + b} - 3

    1 = 5(0+b) - 3

    1 = 0 + 5b - 3

    5b = 4

    b = 4/5

    g(x) = 3x + b
    g(x) = 3x + 4/5
    g(2) = 3(2) + 4/5
    g(2) = 6 + 4/5
    g(2) = 30/5 + 4/5
    g(2) = 34/5

    semoga berguna +_+

Pertanyaan Lainnya