Which description best explains the domain of \( (g \circ f)(x) \) ? the elements in the domain of \( f(x) \) for which \( g(f(x)) \) is defined the elements in the domain of \( f(x) \) for which \( g(f(x)) \) is not zero the elements in the domain of \( g(x) \) for which \( g(f(x)) \) is defined the elements in the domain of \( g(x) \) for which \( g(f(x)) \) is not zero

The domain of \( (g \circ f)(x) \) consists of the elements in the domain of \( f(x) \) for which \( g(f(x)) \) is defined. This means any input \( x \) you choose must first be valid for \( f \), and the output \( f(x) \) must also fall within the domain of \( g \) to ensure \( g(f(x)) \) can be computed. To put it simply, when chaining two functions, it's crucial that the output of the first function (in this case, \( f \)) must be a valid input for the second function (i.e., \( g \)). So think of it as a relay race—each runner (function) must stay in their lane and pass the baton (output) smoothly!