Matematika

Pertanyaan

tolong ya menentukan fungsi komposisi
tolong ya menentukan fungsi komposisi

1 Jawaban

  • f(x) = 5x^2 + 3x - 1
    g(x) = x + 1

    Dit. (fog)(x)

    (fog)(x)
    = f(g(x))

    f(x + 1) = 5 . (x + 1)^2 + 3(x + 1) - 1

    (x + 1)^2
    = (x + 1)(x + 1)
    = x^2 + x + x + 1
    = x^2 + 2x + 1

    --------------
    = 5(x^2 + 2x + 1) + 3(x + 1) - 1
    = 5x^2 + 10x + 5 + 3x + 3 - 1
    = 5x^2 + 13x + 7

    Pilihan D