text: rational function help please please!!? given the following rational function:  f(x)=  4x^2-10x+6  /  -2x+3 4x^2-10x+6=2(2x^2-5x+3)=2(2x-3)(x-1)  so the function becomes: (2(2x-3)(x-1))/(3-2x)  the top part can be multiplied by -1 to flip one of the roots we will choose to flip the (2x-3) into (3-2x) just remember to put a - out in front to cancel out multiplying by -1  -2(3-2x)(x-1)/(3-2x)= -2(x-1)        x cannot be equal to 3/2 this makes a hole(not an asymptote) at x=3/2  there are no horizontal or oblique or vertical asymptotes