Question 364459
{{{y=(6x-2)/x}}}
Interchange {{{x}}} and {{{y}}} and solve for {{{y}}}.
The new y will be the inverse of the original function.
{{{highlight_green(x)=6*highlight_green(y)-2)/highlight_green(y)}}}
{{{xy=6y-2}}}
{{{xy-6y=-2}}}
{{{y(x-6)=-2}}}
{{{y=-2/(x-6)}}}

{{{highlight( F^(-1)(x)=2/(6-x))}}}
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{{{F^(-1)(-1)=2/(6-(-1))}}}
{{{highlight( F^(-1)(-1)=2/7)}}}

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{{{F^(-1)(-4)=2/(6-(-4))}}}
{{{F^(-1)(-4)=2/10}}}
{{{highlight( F^(-1)(-4)=1/5)}}}