Matematika

Pertanyaan

Diketahui f(x)= (2x + 2)² dan g(x)= -5 +2. Tentukan:
a. (f•g)(x)
b. (f•g)(-2)
c. (g•f)(x)
d. (g•f)(1)

1 Jawaban

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

    a) (f • g) (x)
    = (2(-5x + 2) + 2)²
    = ( -10x + 4 + 2)²
    = (-10x + 6)²
    = 100x² - 120x + 36

    b) (f • g) (-2)
    = 100(-2)² - 120(-2) + 36
    = 400 + 240 + 36
    = 676

    c) (g•f) (x)
    = -5 (2x + 2)² + 2
    = -5 (4x² + 8x +4) + 2
    = -20x² - 40x - 20 + 2
    = -20x² - 40x - 18

    d) -20(1) - 40(1) - 18
    = - 20 - 40 - 18
    = - 78

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