Question 290351
The expression is undefined when the denominator equals zero since divsion by zero is undefined. 
You can factor the denominator. 
{{{2x^2-9x-5=(2x+1)(x-5)}}}
Two values:
{{{2x+1=0}}}
{{{2x=-1}}}
{{{x=-1/2}}}
.
.
.
{{{x-5=0}}}
{{{x=5}}}

{{{ graph( 300, 300, -10, 10, -10, 10, (x^2+9)/(2x^2-9x-5)) }}}