Diketahui f(x)=x+2, h(x)=x²-2. Jika (fogoh)=2x²+4, maka g(x) adalah.??
Matematika
Tantrihidayah9478
Pertanyaan
Diketahui f(x)=x+2, h(x)=x²-2. Jika (fogoh)=2x²+4, maka g(x) adalah.??
1 Jawaban
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1. Jawaban bapakdr
goh(x) = g(h(x)) = g(x² - 2)
fogoh(x) = f(goh(x)) = f(g(x²-2)) = 2x² + 4
g(x²-2) + 2 = 2x² + 4
g(x² - 2) = 2x² + 4 - 2
g(x² - 2) = 2x² + 2
g(x² - 2) = 2(x² - 2) + 6
g(x) = 2x + 6