f(x) x+1/2x-4

I'm assuming you meant to write the function as f(x) = (x+1)/(2x-4). In that case, we can simplify the expression by factoring the numerator and denominator:

f(x) = (x+1)/(2x-4)
f(x) = (x+1)/(2(x-2))

Now, we can see that there is a common factor of (x-2) in both the numerator and denominator, so we can cancel it out:

f(x) = (x+1)/(2(x-2))
f(x) = (x+1)/(2(x-2)) * (1/(x-2))
f(x) = (x+1)/(2(x-2)*(x-2))
f(x) = (x+1)/(2(x-2)^2)

So the simplified expression for f(x) is (x+1)/(2(x-2)^2).