How do you find the vertical asymptotes of the function #y= (x^2+1)/(3x-2x^2)# ?

1 Answer
Jun 18, 2018


#"vertical asymptotes at "x=0" and "x=3/2#


The denominator of y cannot be zero as this would make y undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes.

#solve "3x-2x^2=0rArrx(3-2x)=0#

#x=0" and "x=3/2" are the asymptotes"#
graph{(x^2+1)/(3x-2x^2) [-10, 10, -5, 5]}