To find the inverse of the function $f(x) = 3x - 4$, follow these steps:

1. Replace $f(x)$ with $y$: $y = 3x - 4$
2. Swap $x$ and $y$ to solve for $y$: $x = 3y - 4$
3. Solve for $y$: $x + 4 = 3y$ $y = \frac{x + 4}{3}$

Thus, the inverse function is: $f^{-1}(x) = \frac{x + 4}{3}$

Would you like more details or have any questions?

Here are 5 related questions to practice:

1. If $f(x) = 2x + 5$, what is $f^{-1}(x)$?
2. For $f(x) = \frac{1}{2}x - 7$, find the inverse function.
3. If $f(x) = x^2 + 3$, can you find the inverse? Why or why not?
4. Find the inverse of $f(x) = 5x^2$ for $x \geq 0$.
5. Given $f^{-1}(x) = \frac{x}{3} - 1$, what is $f(x)$?

Tip: To check if a function is the correct inverse, compose $f(f^{-1}(x))$ and $f^{-1}(f(x))$; both should return $x$.