Final answer:
The question is about determining the limit of the sum of two functions as x approaches 3. Without specific functions provided for f(x) and g(x), the limit cannot be calculated unless we know both functions are continuous at x = 3.
Step-by-step explanation:
The subject of this question is mathematics, specifically focusing on the concept of limits in calculus. The question asks for the limit of the expression lim x→3 [f(x) + 4g(x)]. To find this limit, if it exists, we must consider the behavior of functions f(x) and g(x) as x approaches 3.
In this scenario, since we're lacking explicit functions for f(x) and g(x), we require more information to calculate the exact value of the limit. We know that if both f(x) and g(x) are continuous at x = 3, then the limit can be found simply by plugging x = 3 into both functions and performing the addition with the coefficient 4 on g(x).
If the information provided about f(x) and g(x) indicates that they are both continuous at x = 3, the limit can be directly determined. Otherwise, we cannot compute the limit without knowing more about f(x) and g(x).