Diketahui f(x) = x – 8, g(x) = x2 – 1, dan h(x) = x + 4. Tentukan a jika (f o g)(a) = (g o h)(a)
Diketahui f(x) = x – 8, g(x) = x2 – 1, dan h(x) = x + 4. Tentukan a jika (f o g)(a) = (g o h)(a)!
Jawab:
f(x) = x – 8
g(x) = x2 – 1
h(x) = x + 4
(f o g)(a) = (g o h)(a)
↔ f(g(a)) = g(h(a))
↔ f(a2 – 1) = g(a + 4)
↔ a2 – 1 – 8 = (a + 4)2 – 1
↔ a2 – 9 = a2 + 8a + 16 – 1
↔ a2 – 9 = a2 + 8a + 15
↔ 8a = -9 – 15
↔ 8a = -24
↔ a = -3
Jadi nilai a adalah -3
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