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

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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.

Answer

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.

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

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