Matematika

Pertanyaan

1.Diket
FoG (x) = x² - 3x + 2
G (x) = 5x - 1
Maka
F (x) = ?

2.Diket
FoG (x) = 2x² + 3
F (x) = 3x - 2
Maka
G (x) = ?

Tolong ya kak segera di jawabin...

2 Jawaban

  • 1) (f o g)(x) = x^2 - 3x + 2
    f(g(x)) = x^2 - 3x + 2
    f(5x - 1) = x^2 - 3x + 2
    Misal (5x - 1) = a => 5x = a + 1 => x = (a + 1)/5
    f(a) = ((a + 1)/5)^2 - 3(a + 1)/5 + 2
    f(a) = (a^2 + 2a + 1)/25 - (3a + 3)/5 + 2
    f(a) = (a^2 + 2a + 1 - 5(3a + 3) + 25(2))/25
    f(a) = (a^2 + 2a + 1 - 15a - 15 + 50)/25
    f(a) = (a^2 - 13a + 36)/25
    f(x) = (x^2 - 13x + 36)/25

    2) (f o g)(x) = 2x^2 + 3
    f(g(x)) = 2x^2 + 3
    3g(x) - 2 = 2x^2 + 3
    3g(x) = 2x^2 + 5
    g(x) = (2x^2 + 5)/3

    ^ = pangkat
  • Kalau ada yang bingung tanya aja..
    Gambar lampiran jawaban rachma62
    Gambar lampiran jawaban rachma62

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