SBMPTN

Pertanyaan

jika f(x) = 2x-6 dan g-1(x) = x-5/4 maka (fog) (2) =...

2 Jawaban

  • g-1(x) = (x-5)/4
    y = (x - 5)/4
    4y = x - 5
    4y + 5 = x
    x = 4y + 5
    g(x) = 4x + 5
    fog(x) = 2(4x + 5) - 6 = 8x+ 10 - 6
    fog(x) = 8x + 4
    fog(2) = 8(2) + 4 = 20
  • g^-1(x) = (x - 5)/4 => untuk mencari g(x) kita inversnya lagi
    (x - 5)/4 = y
    x - 5 = 4y
    x = 4y + 5
    g(x) = 4x + 5
    g(2) = 4(2) + 5 = 13

    (f o g)(2) = f(g(2)) = f(13) = 2(13) - 6 = 20

Pertanyaan Lainnya