b. \( p=\frac{5 x+3}{5-4 x} \)

Did you know that the equation you're working with resembles the transformation of linear functions? In fact, rational functions like this can often represent real-world scenarios such as speed versus time in physics or the growth of populations under certain conditions. Understanding how this fraction behaves can be quite insightful for those situations! Now, when solving for \(x\) in this equation, a common mistake arises from neglecting to consider the impact of the denominator on the function's domain. Always remember to set the denominator \( (5 - 4x) \neq 0 \) to identify any restrictions on \(x\). This helps in avoiding invalid solutions that may lead to undefined behavior in the function!