Final answer:
The domain of the function b * ax, with ax = 3x + 1 and Bx = x - 4, is all real numbers since both expressions are linear and have no restrictions like denominators or square roots.
Step-by-step explanation:
Given the equations ax = 3x + 1 and Bx = x - 4, we are asked to find the domain of the function b * ax. The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, we look for the values of x for which both expressions ax and Bx are defined.
Since both given expressions, ax and Bx, are linear equations and do not involve any denominators or square roots that could restrict the domain, the domain of both ax and Bx is all real numbers. Consequently, the product b * ax will also be defined for all real numbers. Therefore, the domain of b * ax is all real numbers as well.