Matematika

Pertanyaan

di ketahui f(x)=x-3 dan g(x)= x pangkat 2 + 2x - 15. tentukan?

1 Jawaban

  • f(x) = x-3
    g(x) = x²+2x-15

    a) f(x)+g(x) = x-3 + x²+2x-15 = x²+3x-18
    b) f(x)-g(x) = x-3 - (x²+2x-15)
    = x-3-x²-2x+15 = -x²-x+12
    c) f(x) × g(x)
    = (x-3)(x²+2x-15)
    = x³+2x²-3x²-15x-6x+45
    = x³-x²-21x+44
    d) f(x)÷g(x)
    = (x-3)÷(x²+2x-15)
    = (x-3)÷(x+5)(x-3)
    =1/(x+5)
    e) (g•f)(x)
    = g(f(x))
    = (x-3)²+2(x-3)-15
    = x²-6x+9+2x-6-15
    = x²-4x-6

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