Final Answer:
The expression for ((h)/(g))(x) is (x - 7)/2x.
Step-by-step explanation:
To find ((h)/(g))(x), we substitute the given functions h(x) and g(x) into the expression. The formula for ((h)/(g))(x) is h(x)/g(x). Therefore, ((h)/(g))(x) = (h(x))/g(x). Substituting h(x) = x - 7 and g(x) = 2x into the expression, we get ((x - 7)/2x), which simplifies to (x - 7)/2x.
In summary, ((h)/(g))(x) represents the division of the functions h(x) and g(x). By substituting the given functions into the formula and simplifying the expression, we obtain (x - 7)/2x as the final result. This expression characterizes the quotient of the functions h(x) = x - 7 and g(x) = 2x. Understanding and applying the concept of function division, we derive a concise and accurate representation for ((h)/(g))(x).