F(x)=ax+1 ----- 2x-b

To solve this problem, we need to determine the values of a and b given the function f(x).

Let's start by simplifying the expression:

f(x) = (ax + 1) / (2x - b)

Now, let's find the condition for which the function f(x) is defined. For the denominator to be non-zero, we have:

2x - b ≠ 0

Solving for x, we get:

x ≠ b/2

So, the function f(x) is defined for all x except x = b/2.

Next, if we want to find the values of a and b, we need to know more information about the function or any given constraints.

Please provide any additional information or constraints that you have, so I can help you further.