Question 159878
{{{(2y-6)/(2y^2+5y+2)}}}
The function is undefined when the denominator equals zero.
{{{2y^2+5y+2=0}}}
Use the quadratic formula,
{{{y = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{y = (-5 +- sqrt( 5^2-4*2*2 ))/(2*2) }}}
{{{y = (-5 +- sqrt( 25-16 ))/(4) }}}
{{{y=(-5 +- sqrt( 9))/(4) }}}
{{{y=(-5 +- 3)/(4) }}}
y=-2, 1/2
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{{{ graph( 300, 300, -5, 2, -10, 10,2x^2+5x+2) }}}