Matematika

Pertanyaan

Jika :
f(x) = x² - 3x + 5
g(x) = x + 2
f(g(a) = 81
= ?

1 Jawaban

  • f(g(a)) = 15
    g(a) = a + 2
    f(a+2) = 15
    15 = (a+2)² - 3.(a+2) + 5
         = a² + 4a + 4 - 3a - 6 + 5
         = a² + a + 3
    a² + a + 3 - 15 = 0
    (a+4) (a-3) = 0
    a = -1
    a = 3

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