Matematika

Pertanyaan

f(x)=3x-1 , g(x)=x-1/x+2,x tidak sama dengan -2 cari fungsi gubahan fg

1 Jawaban

  • [tex]f(x) = 3x-1 \\ \\ g(x) = \frac{x - 1}{x + 2} \\ \\ (f\circ g)(x) = f(g(x)) \\ \text{} \quad = f \left ( \frac{x - 1}{x + 2} \right ) \\ \text{} \quad = 3 \left ( \frac{x - 1}{x + 2} \right) - 1 \\ \text{} \quad = \frac{3x - 3}{x + 2} - 1 \\ \text{} \quad = \frac{3x - 3}{x + 2} - \frac{x+2}{x+2} \\ \text{} \quad = \frac{3x - 3 - x - 2}{x + 2} \\ \text{} \quad = \frac{2x - 5}{x + 2} \\[/tex]

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