Matematika

Pertanyaan

Jika f(x) = x²+3x-2 dan g(x) = 2x+5.
Jika (f • g)(-2) = ... ?

1 Jawaban

  • f(x) = x^2 + 3x - 2
    g(x) = 2x + 5

    (f o g)(x)
    = f (g(x))
    = (g(x))^2 + 3(g(x)) - 2
    = (2x + 5)^2 + 3(2x + 5) - 2
    = 4x^2 + 20x + 25 + 6x + 15 - 2
    = 4x^2 + 26x + 38

    (f o g)(-2)
    = 4(-2)^2 + 26(-2) + 38
    = 4(4) + (-52) + 38
    = 16 - 52 + 38
    = 2

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