Question 946423
{{{f(x) = 2x-6}}} has no horizontal asymptote as it is a linear equation. Linear equations do NOT have any asymptotes at all.


{{{f(x) = 2/x-6}}} has the horizontal asymptote at y = -6 as you can see below


{{{ graph( 500, 500, -10, 10, -10, 10, 0, 2/x-6) }}}


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{{{f(x) = 2/(x-6)}}} has the horizontal asymptote at y = 0 as you can see below


{{{ graph( 500, 500, -10, 10, -10, 10, 0, 2/(x-6)) }}}