Matematika

Pertanyaan

1 . diketahui f(x) = x²+2x-3, g(x) = x-5 tentukan nilai a jika ( f · g ) (a) = 5


tolong ane gan
2. diketahui (f-g) (x) = x³+3x³-8x tentukan f(x) jika 9 (x) = x+1

1 Jawaban

  • f (x) = x^2 + 2x - 3, dan g(x) = x -5
    f o g (x) = f { g(x) }
    = f (x - 5)
    = (x -5)^2 +2(x - 5)- 3
    = x^2 - 10x +25 +2x - 10 - 3
    = x^2 - 8x + 12
    f o g (a) = 5
    a^2 - 8a + 12 = 5
    a^2 - 8a + 7 = 0
    (a - 1)( a - 7) = 0
    a = 1 atau a = 7
    2) (f - g) = x^3 + 3x^2 - 8x
    (f - g)(x) = f(x) - g(x)
    x^3 + 3x^2 - 8x = f (x) - (x + 1)
    f (x) = x^3 + 3x^2 - 8x + (x +1)
    f (x) = x^3 + 3x^2 - 7x + 1

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