Matematika

Pertanyaan

Diketahui (fog)(x)= -x3+2x+1 dan f-1(x)= 4-x, maka nilai (gof)(-3) sama dengan....

1 Jawaban

  • f-¹(x) = 4 - x
    x = 4 - y
    y = 4 - x
    f(x) = 4 - x

    (f ○ g)(x) = f(g(x))
    -x³ + 2x + 1 = 4 - g(x)
    g(x) = x³ - 2x + 4 - 1
    g(x) = x³ - 2x + 3

    f(-3)
    = 4 - (-3)
    = 7

    (g ○ f)(-3)
    = g(f(-3))
    = 7³ - 2(7) + 3
    = 343 - 14 + 3
    = 332

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