Question

$f(x)=-((2 x)/(x-2))$

Answer 1

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$f(x)=- \frac{ ((2x) }{ (x-2) }$

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$f(x)=- \frac{ ((2x) }{ (x-2) }$

$fx\left(x-2\right)=-2x$

$fx^{2}-2fx=-2x$

$\left(x^{2}-2x\right)f=-2x$

$\frac{\left(x^{2}-2x\right)f}{x^{2}-2x}=-\frac{2x}{x^{2}-2x}$

$f=-\frac{2x}{x^{2}-2x}$

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$f=-\frac{2}{x-2}$

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