\( \leftarrow \) Find the domain of the function. \( f(x)=\frac{11}{x+11} \) The domain of \( f(x) \) is

To find the domain of the function \( f(x) = \frac{11}{x+11} \), we need to identify the values of \( x \) that would make the denominator zero since division by zero is undefined. Setting the denominator \( x + 11 = 0 \) gives us \( x = -11 \). Therefore, the function is undefined at \( x = -11 \). The domain consists of all real numbers except this single value, which can be expressed as \( (-\infty, -11) \cup (-11, \infty) \). In simpler terms, you can think of the domain as the set of all \( x \) values you can "plug into" the function without breaking it. Just remember, if you encounter any math function, check for those pesky spots that could cause trouble—like dividing by zero!