F(x)=2x+1 dan g(x)= 1 per x-3 tentukan (fog)(x) dan (gof)(x)
Matematika
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Pertanyaan
F(x)=2x+1 dan g(x)= 1 per x-3 tentukan (fog)(x) dan (gof)(x)
1 Jawaban
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1. Jawaban msvioland
[tex]fog(x) = 2x + 1 \\ fog(x) = 2( \frac{1}{x - 3)} + 1 \\ fog(x) = \frac{2}{x - 3} + 1 \\ fog(x) = \frac{2 - 3 + x}{x - 3} \\ fog(x) = \frac{ x - 1}{x - 3} \\ \\ gof(x) = \frac{1}{x - 3} \\ gof(x) = \frac{1}{2x + 1 - 3} \\ gof(x) = \frac{1}{2x - 2} [/tex]