Question 979600
{{{f(x)= (3x^2-4x+5)/(x-3)}}}


------------({{{3x+5}}}
{{{(x-3)}}}|{{{3x^2-4x+5}}}
------------{{{3x^2-9x}}}.....subtract
------------{{{0+5x}}}....add next term
------------{{{5x+5}}}
------------{{{5x-15}}}.....subtract
------------{{{0+20}}}
--------------{{{20}}}....reminder

{{{f(x)=3x+5 +20/(x-3)}}}

so,the slant asymptote is {{{f(x)=3x+5}}}


{{{ graph( 600, 600, -10, 10, -30, 10, (3x^2-4x+5)/(x-3), 3x+5) }}}