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June 15, 2021 11:19 am

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Staff

(@armor)

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June 15, 2021 11:19 am

Topic starter

Staff

(@armor)

Admin

Honorable Member

317 Posts
156 153 0

$\small \frac{f(x)}{2.f(x)-x}=\frac{1}{1-x}$

$\small (1-x).f(x)=2.f(x)-x$

$\small f(x)-x.f(x)-2f(x)=-x$

$\small f(x).[-x-2]=-x$

$\small f(x)=\frac{x}{x+1}\Rightarrow f^{-1}(x)=\frac{x}{1-x}=\frac{-x}{x-1}$

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