Matematika

Pertanyaan

tentukan invers dari fungsi
f(x)=2x+1/3-x
f(x)=3x+2/-6x-1

1 Jawaban

  • [tex]\displaystyle f(x)=\frac{ax+b}{cx+d} \\ f^{-1}(x)=\frac{-dx+b}{cx-a}[/tex]

    1.
    [tex]\displaystyle f(x)=\frac{2x+1}{-x+3} \\ f^{-1}(x)=\frac{-3x+1}{-x-2}=\frac{3x-1}{x+2}[/tex]

    2.
    [tex]\displaystyle f(x)=\frac{3x+2}{-6x-1} \\ f^{-1}(x)=\frac{x+2}{-6x-3}=-\frac{x+2}{6x+3}[/tex]

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