Final answer:
The function f(x) is identified as (2x-1)/(3x+5), with a restriction that x cannot equal -5/3 to avoid division by zero, which corresponds to a vertical asymptote.
Step-by-step explanation:
The question involves determining the function f(x) = (2x-1)/(3x+5) and identifying any restrictions on this function's domain. There is a restriction mentioned in the question, x ≠ -5/3, which means that x cannot equal -5/3. This is because if x were -5/3, the denominator of the fraction would be zero, leading to an undefined value for the function. The restriction x ≠ -5/3 represents a vertical asymptote on the graph of the function, which is a value that the function approaches but never reaches. Additionally, the function is defined for all other real numbers.