mau nanya dong, lg kesusahan nih misalkan f(x) = x-3 per x-1. tentukan f(f(x)) =
Matematika
nelinelarayana
Pertanyaan
mau nanya dong, lg kesusahan nih
misalkan f(x) = x-3 per x-1. tentukan f(f(x)) =
misalkan f(x) = x-3 per x-1. tentukan f(f(x)) =
2 Jawaban
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1. Jawaban feedback54
[tex]f(x)= \frac{x-3}{x-1} \\ f(f(x))=\frac{(\frac{x-3}{x-1})-3}{(\frac{x-3}{x-1})-1} \\ =\frac{\frac{x-3-3x+3}{x-1}}{\frac{x-3-x+1}{x-1}} \\ = \frac{-2x+2}{-2} \\ = \frac{2(-x+1)}{-2} \\ =x-1[/tex] -
2. Jawaban xkuadratz
[tex] f(x) = \frac{ x-3}{x-1 } \\ \\ f(f(x))=\frac{ \frac{ x-3}{x-1 } -3}{\frac{ x-3}{x-1 } -1 } \\ \\ = \frac{ \frac{ x-3-3x+3}{x-1 }}{\frac{ x-3-x+1}{x-1 } } \\ \\ = \frac{-2x}{-2} =x[/tex]