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finding the vertical asymptote of function (x^2+1)/ (3x-2x^2)?
steps in finding the vertical asymptote?
thanks
3 Answers
- Anonymous1 decade agoFavorite Answer
3x-2x^2 = 2x^2 + 3x -0
Put the bottom of the fraction equal to zero, and your values are the asymptotes
x(2x+3)
so x=0 and x=-3/2 are the asyptotes
- 1 decade ago
Vertical asymptotes happen at values of x where the function is undefined. Here this happens when the denominator is 0 and only then.
3x-2x^2=0=x[3-2x]
So there are vertical asymptotes at x=0 and x=1.5 only.
- 1 decade ago
This function will have an asymptote where its value is undefined, or where the denominator is equal to zero.
Thus, 3x-2x^2=0
x(3-2x)=0
x=0, x=3/2
Asymptotes will occur at x=0 and x=3/2