Find the domain and simplify?

Question

x^2+2x-3

__________

x^2-1

Answer 1

I'm assuming these are two seperate problems.

The first one simplified is:

(x+3)(x-1)

The first domain is:

(negative infinity, positive infinity)

The second one simplified is:

(x-1)(x+1)

The second domain is:

(negative infinity, positive infinity)

Answer 2

(x^2+2x-3 ) / (x^2-1)

=(x+3)(x-1) / (x+1))(x-1)

=(x+3)/(x+1)

The Domain is the set of all Real Numbers except x= -1

-1 has to be excluded because it makes the denominator=0, and

division by 0 in not allowed.