Question 611295
{{{y=(2x^2+3x+1)/(x^2-5x+4)}}}
A rational function will have a hole if there is a common factor between the numerator and denominator. (If there is more than one common factor, then there there will be that many holes.)<br>
So we need to see what the factors of the numerator and denominator are:
{{{y=((2x+1)(x+1))/(x-1)(x-4))}}}
There are no common factors between the numerator and denominator so there will be no holes in the graph.