jika f(x)= 4x -2 dan g(x)= x+1/x-2 maka tentukan (f•g) (x) = f (g(x))
Matematika
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Pertanyaan
jika f(x)= 4x -2 dan g(x)= x+1/x-2 maka tentukan (f•g) (x) = f (g(x))
1 Jawaban
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1. Jawaban egaariannooz3h42
(fog)(x) = f(g(x)) = 4(g(x)) - 2
[tex] = 4(\frac{x + 1}{x - 2} ) - 2 \\ = \frac{4x + 4}{x - 2} - 2 \\ = \frac{(4x + 4) - 2(x - 2)}{x - 2} \\ = \frac{4x + 4 - 2x + 4}{x - 2} \\ = \frac{2x + 8}{ x - 2} = \frac{2(x + 4)}{x - 2} [/tex]