Question 204367
f(x) = (x^2 +4x +1) / (2x^2 +x-3) 
.
factor 
f(x) = (x+3.732)(x+.268) / (2x+3) (x-1)
.
ps.  used  quadratic  formula  for  numerator, but  it  doesn't  come  into  play
.
To  be  out  of  the  Domain,  the  function  can  be  (1) undefined,  by  having  zero  in  denominator,,or(2) complex,,sqrt  of  negative  number

in  this  case  if  (2x+3) =0,, x=-3/2,,,,or (x-1)=0,,x=1,,,, function  is  undefined
.
Therefore  Domain  is  ALL  REAL  NUMBERS,,except x=-3/2  and  x=1
.