To find $f(5)$, we substitute $x=5$ into the expression for $f(x)$.
We get $f(5) = \dfrac{5+1}{3(5)-4} = \dfrac{6}{15-4} = \dfrac{6}{11}$.
So, the value of $f(5)$ is $\boxed{\dfrac{6}{11}}$.
The answer is: \frac{6}{11}
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If $f(x)=\dfrac{x+1}{3x-4}$, what is the value of $f(5)$?

### Answer:
