Question

find the open intervals for h(x) = x^2/(x^2 - 4)

Answer 1

A step by step ould be great if possible. I am trying to understand this idea.

Answer 2

To find where the function h(x) = x^2/(x^2 - 4) does not exist you must analyze the denominator. If the value of the expression in the denominator (x^2 - 4) equates to zero then the entire function becomes undefined and thus cannot be graphed. You must find where the the expression in the denominator equals zero and exclude those values from your domain. The value that causes the expression in the denominator to equate to zero and furthermore cause the function to become undefined is the value x=2 and must be eliminated from the domain. The domain would then be -inf to 2 (exclude 2) and 2 to inf.

Answer 3

Thank you!! I understand what step is needed next