jika (f0g) = 4x²-12x + 5 dan g(x) = 2x-3 maka tentukan f)(x)..
Matematika
maula22
Pertanyaan
jika (f0g) = 4x²-12x + 5 dan g(x) = 2x-3 maka tentukan f)(x)..
1 Jawaban
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1. Jawaban AZHAAYL
(fog)(x) = 4x²-12x+5
f(g(x) = (fog)(x)
f(x) → g(x) = y
2x-3 = y
x = ½(y+3)
f(x) = 4(½[y+3])² -12(½[y+3]) +5
f(x) = y²+6y+9 -6y-18 +5
f(x) = y² - 4
f(x) = x² - 4