state the domain of the following function in interval notation
g(x)= 3^sqrt 2x-5/x^2-4
explain how this is the answer
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function g(x) is defined for all real numbers except for those values of x that would make the denominator of the function equal to zero.
To find the domain of g(x), we first need to determine the values of x that would make the denominator, x^2-4, equal to zero. This occurs when x = 2 or x = -2. Therefore, we must exclude these values from the domain of the function.
Thus, the domain of g(x) in interval notation is:
(-∞, -2) U (-2, 2) U (2, ∞)
This means that the function g(x) is defined for all real numbers except for x = -2 and x = 2.