Find the domain of the function. \( f(x)=4+\frac{1}{x^{5}} \) The domain is \( \square \). (Simplify your answer. Type your answer in interval notation.)

To find the domain of the function \( f(x) = 4 + \frac{1}{x^5} \), we need to identify the values of \( x \) for which the function is defined. 1. The term \( \frac{1}{x^5} \) is undefined when the denominator is zero. Therefore, we need to find when \( x^5 = 0 \). 2. Solving \( x^5 = 0 \) gives us \( x = 0 \). Since the function is undefined at \( x = 0 \), the domain of \( f(x) \) includes all real numbers except for \( x = 0 \). In interval notation, the domain can be expressed as: \[ (-\infty, 0) \cup (0, \infty) \] Thus, the domain of the function is \( \boxed{(-\infty, 0) \cup (0, \infty)} \).