The function written in the image is:

$f(x) = \sqrt{x + 4} - 2$

This represents a square root function, where the expression inside the square root is $x + 4$, and 2 is subtracted from the square root value.

Domain:

For the square root function to be defined, the expression inside the square root must be non-negative: $x + 4 \geq 0 \implies x \geq -4$ Thus, the domain of $f(x)$ is $x \geq -4$.

Would you like more details, or do you have any questions?

Here are 5 questions related to this concept:

1. What is the range of the function $f(x) = \sqrt{x+4} - 2$?
2. How do we graph the function $f(x) = \sqrt{x+4} - 2$?
3. How do transformations affect the function $f(x)$?
4. What happens to the domain if we modify the function to $f(x) = \sqrt{x+4} + 2$?
5. Can you find the inverse of the function $f(x) = \sqrt{x+4} - 2$?

Tip: When working with square roots, always remember that the value inside the root must be non-negative to avoid complex numbers.