Final answer:
The function f(x)=3x/(4x-15) is already in its simplest form, and none of the provided answer choices are equivalent to it.
Step-by-step explanation:
The student is asking to find an equivalent expression for the function f(x)=3x/(4x-15). To do this, we should look for any common factors in the numerator and the denominator that could be cancelled out.
However, after examining the expression, we can see that there are no common factors to cancel, as the numerator 3x and the denominator 4x-15 do not share any factors besides 1. Therefore, the expression f(x)=3x/(4x-15) is already in its simplest form and none of the answer choices provided (A) 4x-15, B) 4x-15/3, C) 3x-11/4x-15, D) 3/4x-15) are equivalent to the original function f(x).