Simplify the rational expression. State any restrictions on the variable.

Answer:
The last choice.
Step-by-step explanation:
[tex]\dfrac{k^2-k-2}{k^2-4k-5}=\dfrac{(k+1)(k-2)}{(k+1)(k-5)}=\dfrac{k-2}{k-5}[/tex]
The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.