why is this statement Incorrect--
* Given R(x)=x(x-a)/(x+b)(x-a) for a, b, and c0, the function has two x-intercepts, two vertical asymptotes and a horizontal asymptote?

Question

why is this statement Incorrect-->
* Given R(x)=x(x-a)/(x+b)(x-a) for a, b, and c>0, the function has two x-intercepts, two vertical asymptotes and a horizontal asymptote?

anonymous · Answer

Check something... is x=a an x intercept? Does plugging a into the equation give me y=0?

anonymous · Answer

top lead coef/bottom lead coef

anonymous · Answer

It's incorrect because the equation has (x-a)/(x-a) in it.  They cancel out leaving only an undefined point at x=a.

There is NOT a zero at x=a.  There is NOT a vertical asymptote at x=a.

anonymous · Answer

very right, i see it... :))))))

anonymous · Answer

a is a hole point because a is not in the domain.