Matematika

Pertanyaan

Dik: f(x)=x+2 g(x)=x2-4 Tentukan: a.(f+g) (-1) b.(f-g) (3)

1 Jawaban

  • f(x) = x + 2
    g(x) = x^2 - 4

    a) (f + g)(-1)
    b) (f - g)(3)

    a)
    (f + g)(x)
    = f(x) + g(x)
    = (x + 2) + (x^2 - 4)
    = x + 2 + x^2 - 4
    = x^2 + x - 2

    (f + g)(x) = x^2 + x - 2
    (f + g)(-1) = (-1)^2 + (-1) - 2
    (f + g)(-1) = 1 - 1 - 2
    (f + g)(-1) = -2


    b)
    (f - g)(x)
    = f(x) - f(g)
    = (x + 2) - (x^2 - 4)
    = x + 2 - x^2 + 4
    = -x^2 + x + 6

    (f - g)(x) = -x^2 + x + 6
    (f - g)(3) = -3^2 + 3 + 6
    (f - g)(3) = -9 + 3 + 6
    (f - g)(3) = 0


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