Matematika

Pertanyaan

Untuk nilai f(x)=x + 3 dan g(x)= x^2 carilah nilai berikut..!!
A.(f+g)(2)
B.(f.g)(0)
C.(f/g)(3)
D.(fog)(1)
E.(gof)(1)
F.(gof)(-8)

1 Jawaban

  • a) (f+g)(x) = f(x)+g(x)
    = x + 3 + x²
    = x²+x+3
    maka (f+g)(2) = (2)²+2+3 = 9

    b) (f.g)(0) = f(x).g(x)
    = (x+3)x²
    = x³+3x²
    maka (f.g)(0) = (0)³+3(0)² = 0
    c) (f/g)(x) = f(x)/g(x)
    = x+3/x²
    maka, (f/g)(3) = 3+3/3² = 2/3

    d) (fog)(x) = f(g(x)) = (x²)+3 = x²+3
    maka, (fog)(1) = (1)³+3 = 4

    e) (gof)(x) = g(f(x)) = (x+3)² = x²+6x+9
    maka, (gof)(1) = (1)²+6(1)+9 = 16

    f) (gof)(-8) = (-8)²+6(-8)+9 = 25

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