Final answer:
The function (f/g)(x) is found by dividing f(x) by g(x), resulting in (4x + 1) / (x^2 - 5). There is no further simplification of this expression without specific values for x.
Step-by-step explanation:
To find the function (f/g)(x), you need to divide the function f(x) by the function g(x). Given that f(x) = 4x + 1 and g(x) = x^2 - 5, the division of these two functions is:
(f/g)(x) = f(x) / g(x) = (4x + 1) / (x^2 - 5).
There is no further simplification unless we consider specific values of x for which the denominator g(x) does not equal zero, since division by zero is undefined. So, to summarize, the composite function (f/g)(x) is simply the numerator function divided by the denominator function.