Answer:
The correct option is 2.
Step-by-step explanation:
The given rational expression is
\(\frac{x+5}{x^2+6x+5}\)
Factorize the denominator.
The middle term can be written as 5x+x.
\(\frac{x+5}{x^2+5x+x+5}\)
\(\frac{x+5}{x(x+5)+1(x+5)}\)
\(\frac{x+5}{(x+5)(x+1)}\)
Cancel out the common factors.
\(\frac{1}{x+1}\)
The simplified form of the given expression is \(\frac{1}{x+1}\). The factors of the denominator are (x+5) and (x+1), it means at x=-5 and x=-1, the value of denominator is zero.
The given expression is not defined for x=-1 and x=-5.
Therefore the correct option is 2.
