Matematika

Pertanyaan

tentukan domain dan renge g(x ) =1-3x/2-x

1 Jawaban

  • [tex]g(x)= \frac{1-3x}{2-x} [/tex], x ≠ 2
    domain = Dx = {x | x ≠ 2}

    [tex]g(x)= \frac{1-3x}{2-x} [/tex]
    [tex]y= \frac{1-3x}{2-x} [/tex]
    [tex]y(2-x)=1-3x[/tex]
    [tex]2y-xy=1-3x[/tex]
    [tex]2y=1-3x+xy[/tex]
    [tex]2y-1=(-3+y)x[/tex]
    [tex]\frac{2y-1}{y-3}=x[/tex]
    [tex]x = \frac{2y-1}{y-3}[/tex], y ≠ 3
    range = Rx = {x | x ≠ 3}

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