Matematika

Pertanyaan

diketahui f(x)=4x+1, g(x)=x²-3x, h(x)=2+x . tentukan
(f°g°h) (x)
(f°g°h) (-2)

1 Jawaban

  • (f•g•h) (x)
    f(g(h(x))) = f(g(2+x))
    = f(x²-3x(2+x))
    = f((2+x)²-3(2+x))
    = f(x²+4x+4 - 3x-6)
    = f(x²+x-2)
    = 4x+1(x²+x-2)
    = 4(x²+x-2)+1
    = 4x² + 4x - 8 +1
    = 4x² + 4x - 7

    (f•g•h) (-2)
    = 4x² + 4x - 7
    = 4(-2)² + 4(-2) - 7
    = 4(4) - 8 - 7
    = 16 - 15
    = 1

    maaf kalau salah

Pertanyaan Lainnya