Tentukan g(x) jika f(x) = x2 + 8 dan (fog)(x) = 4x2 – 10x + 5
Tentukan g(x) jika f(x) = x2 + 8 dan (fog)(x) = 4x2 – 10x + 5!
Pembahasan:
f(x) = x2 + 8
(fog)(x) = 4x2 – 10x + 5
f(g(x)) = 4x2 – 10x + 5
(g(x))2 + 8 = 4x2 – 10x + 5
(g(x))2 = 4x2 – 10x – 3
g(x) = √(4x2 – 10x – 3)
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