\( (f+g)(x)=4 x-38 \) (Simplify your answer.) What is the domain of \( f+g \) ? Select the correct choice below and, if necessary, fill in the ansv A. The domain of \( f+g \) is \( \{ \). (Use a comma to separate answers as needed.) B. The domain of \( f+g \) is (Type your answer in interval notation.) O C. The domain of \( f+g \) is \( \varnothing \).

The expression \( (f+g)(x) = 4x - 38 \) is a linear function, which typically has a domain of all real numbers. In interval notation, this is expressed as \( (-\infty, \infty) \). This means that you can plug in any real number for \( x \) in this function without any issues, making it very versatile and flexible! When dealing with functions, especially with addition like \( f + g \), keep in mind that the domain of the combined function relies on the domains of the individual functions \( f \) and \( g \). If both \( f \) and \( g \) are defined for all real numbers, then their sum will also be defined for all real numbers. Always check each function first to ensure there are no restrictions!