Find the domain

Question

    1     

x2-4x-5

Answer 1

Just making sure, but I believe your expression is

 

          1

----------------

     x²-4x-5

 

Domain is derived by factoring the denominator and setting each factor equal to 0

x²-4x-5 = (x-5)(x+1)

 

x-5=0            x+1=0

x = 5              x=-1

 

So the domain is all reals, such that x≠-1,5

 

Stated another way

D: (-∞,-1)u(-1,5)u(5,∞)