Matematika

Pertanyaan

diketahui g(x-2) = 2x+7 dan (h○g)(x) = 4x+44x+1. nilai h(10) = ...
a. -20
b. -18
c. -15
d. -10
e. -5

1 Jawaban

  • g(x-2) = 2x +7
    g (x-2) = 2(x -2) +11
    g(x) = 2x +11+
    (hog)(x) = 4x^2 + 44x + 1
    h {g (x) } = 4x^2 +44x +1
    h (2x +11) = 4x^2 +44x +1
    h (2x+11) = (2x+11)^2-121+1
    h (2x+11) = (2x+11)^2 -120
    h(x) = x^2 -120
    h (10) = 10^2 -120
    = 100 - 120
    = -20

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