State the x coordinate of any holes in the function.

Question

f(x)= 8x^2-16x

         -----------

         5x^2-20

 

A. 0

B. 2

C. 5

D. -2

E. None of the above

Answer 1

When you factor, you get 8x(x-2) / [5(x-2)(x+2) and the factors (x-2) cancel.

 

Therefore there's a hole at x = 2, and a vertical asymptote x = -2.  ANSWER: D

 

Furthermore, there's a horizontal asymptote y = 8/5.