To find the value of $f(10)$, we substitute $x = 10$ into the given function $f(x) = 4x + 7$.

$f(10) = 4(10) + 7 = 40 + 7 = 47$

Thus, the value of $f(10)$ is $47$.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. What is the value of $f(0)$ for the same function?
2. How would the function change if the constant term were altered?
3. Can you express the function $f(x) = 4x + 7$ graphically?
4. What is the inverse of the function $f(x) = 4x + 7$?
5. How does the function behave for negative values of $x$?

Tip: Functions like $f(x) = 4x + 7$ are linear, meaning their graph is a straight line.