Matematika

Pertanyaan

tentukan rumus fungsi f(x) dan nilai f(2) jika diketahui:
a. g(x) =x+2 dan (gof) (x) =x kuadrat-6x+9
b. g(x) =x+5 dan (gof) (x) =(x-1)^2

1 Jawaban

  • a) (gof)(x) = x²-6x+9
    g(f(x)) = x²-6x+9
    f(x) + 2 = x²-6x+9
    f(x) = x²-6x+7

    f(2) = 4-12+7= -1

    b) (gof)(x) = (x-1)²
    g(f(x)) = (x-1)(x-1)
    g(f(x)) = x²-2x+1
    f(x)+5 = x²-2x+1
    f(x) = x²-2x-4

    f(2) = 4-4-4 = -4

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