Find the hoes (if any) for the function

Question

R(x)=   x-5

        ----------

       x^2-4x-5

 

A. x=5

B. x=4, x=-1

C. x=-1

D. There are no holes

E. x=-5

F. None of the above

Answer 1

The denominator is factored as (x-5)(x+1).  The (x-5) factor divides out, leaving a hole ay x=5 (answer A)