Final answer:
The expression for (f(x))/(g(x)) with f(x) = 8x + 15 and g(x) = 2x + 3 is (8x + 15) / (2x + 3), which cannot be simplified further as there are no common factors to cancel out.
Step-by-step explanation:
To find the expression representing (f(x))/(g(x)), we need to divide the function f(x) by the function g(x).
Since we are given f(x) = 8x + 15 and g(x) = 2x + 3, we can write the expression as:
(f(x))/(g(x)) = (8x + 15) / (2x + 3).
However, this expression cannot be further simplified by canceling equivalent terms because there are no common factors in the numerator and the denominator that can be divided out.
So, the final expression for (f(x))/(g(x)) remains (8x + 15) / (2x + 3). Remember we assume the denominator cannot equal zero, which means x cannot be such that it makes the denominator, 2x+3, equal to zero.