<PRE><B>Question 739852</B>
{{{f(x)= (x-3)/(x-6)}}}


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \text{domain }\left{x\,\in\,\mathbb{R}\,:\,x\,\neq\,6\\right}]


green arrow shows you set of values {{{x}}} that are in domain:

{{{drawing( 600, 600, -10, 10, -10, 10, 
         grid(0),circle(6,0,0.2),circle(6,1,0.2),green( arrow( 5.8, 1, -9, 1 ) ),green( arrow( 6.2, 1, 9, 1 ) ), graph( 600, 600, -10, 10, -10, 10, (x-3)/(x-6))) }}}

interval note:

({{{-infinity}}},{{{6}}}) U ({{{6}}},{{{infinity}}})

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