Matematika

Pertanyaan

jika f(x)=x²+3x-2dan g(x)=2x+3nilai(f•g) (-2)=....

1 Jawaban

  • f (x) = x² + 3x - 2
    g (x) = 2x + 3

    (fog) (x)
    = f {g (x)}
    = f (2x + 3)
    = (2x + 3)² + 3 (2x + 3) - 2
    = 4x² + 12x + 9 + 6x + 9 - 2
    = 4x² + 12x + 6x + 18 - 2
    = 4x² + 18x + 16

    (fog) (-2)
    = 4 (-2)² + 18 (-2) + 16
    = 4 (4) + (-36) + 16
    = 16 - 36 + 16
    = -36 + 32
    = -4

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