Final answer:
To determine the domain of the sum of the functions f and g, identify the values of x for which both f and g are defined. Exclude any values of x that would make the denominators of g(x) equal to zero.
Step-by-step explanation:
To determine the domain of the sum of the functions f and g, we need to find the values of x for which both f and g are defined. In this case, f(x) = 5x - 4 and g(x) = 3/(x - 9).
Since both functions involve division, we need to identify any values of x that would make the denominators equal to zero. For g(x), the denominator x - 9 would be equal to zero when x = 9.
Therefore, the domain of f+g would be all real numbers except x = 9.