diketahui (g ° f)(x) = 4x²+4x dan g(x) = x²-1. tentukanlah nilai f(x-2)
Matematika
evaisnaini
Pertanyaan
diketahui (g ° f)(x) = 4x²+4x dan g(x) = x²-1. tentukanlah nilai f(x-2)
1 Jawaban
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1. Jawaban subebe
gof(x) = 4x^2+4x
g(f(x)) = 4 x^2 + 4x
(f(x))^2 - 1 = 4x^2 + 4x
(f(x))^2 = 4x^2 + 4x + 1
(f(x))^2 = (2x + 1)^2
f(x) = 2x + 1
f(x-2) = 2(x-2) + 1
= 2x - 4 +1
=2x -3