Final answer:
The question asks to solve for inverse functions given only the expressions for the inverses; however, without the original functions, these cannot be uniquely determined. Additional context or information is required to solve these problems.
Step-by-step explanation:
To solve f-1(x) = 2x+5/3x, you would typically set y = f-1(x) and then exchange x and y to solve for y in terms of x. If the original function f(x) is known, this process can be used to determine the inverse function. However, without the original function f(x), you cannot find a unique inverse. The question as it stands is incomplete and cannot be solved as given.
The second part, f-1(x) = 3/x+4, follows a similar process. Again, you would exchange x and y and solve for y. The full original problem or additional context is required to provide a complete solution to these equations.