Matematika

Pertanyaan

jika (f bundaran g ) (x) = x^2 -2x-2 dan f (x) = x-3. Maka niai g(2) =

2 Jawaban

  • (fog)(x) = x² - 2x - 2
    f(g(x)) = x² - 2x - 2
    g(x) - 3 = x² - 2x - 2
    g(x) = x² - 2x - 2 + 3
    g(x) = x² - 2x + 1
    g(2) = 2² - 2 . 2 + 1
    g(2) = 4 - 4 + 1
    g(2) = 1
  • Diketahui (fog)(x) = x^2 - 2x - 2 dan f(x) = (x-3)
    Ditanya : g(2)
    Jawab :
    (fog)(x) = fog(x)
    <=>x^2 - 2x - 2 = g(x) - 3
    <=>g(x) = x^2 - 2x - 2 + 3
    <=>g(x)= x^2 - 2x + 1
    <=>g(2)= 2^2 - 2*2+1
    <=>g(2)= 4-4+1
    g(2)= 1

    Jdi g(2)= 1

Pertanyaan Lainnya