Find the domain of the quotient of the functions \(f(x) = x^2 - 4\) and \(g(x) = x^2 - 1\).

Step 1 ：The domain of a quotient of two functions is all real numbers except for the values of x that make the denominator equal to zero.

Step 2 ：First, we must find the values of x that make \(g(x) = x^2 - 1 = 0\).

Step 3 ：Solving the equation \(x^2 - 1 = 0\) for x, we get \(x = -1, 1\).

Step 4 ：Therefore, the domain of the quotient \(\frac{f(x)}{g(x)}\) is all real numbers except for -1 and 1.