We are given the function:

$f(x) = 3x - 4$

We are asked to find $x$ when $f(x) = 7$. This means we can set up the equation:

$3x - 4 = 7$

To solve for $x$:

1. Add 4 to both sides:

$3x = 7 + 4$

$3x = 11$

2. Divide both sides by 3:

$x = \frac{11}{3}$

So, the solution is:

$x = \frac{11}{3}$

Would you like further explanation or have any other questions?

Here are 5 related questions:

1. How do you find the inverse of a linear function like $f(x) = 3x - 4$?
2. How can you graph $f(x) = 3x - 4$ and verify the solution visually?
3. What happens if $f(x) = -7$ instead of 7? How does this change the solution for $x$?
4. How can you express the solution as a decimal instead of a fraction?
5. How would you solve this equation if it were $f(x) = ax + b$ for general constants $a$ and $b$?

Tip: For linear equations, remember that isolating $x$ usually involves simple operations like addition, subtraction, and division.