The graph of the function f(x)=$$ \sqrt{x+4} $$ is shown below.

The domain of the function is

To find the domain of the function $ f(x) = \sqrt{x+4} $, we need to ensure that the expression inside the square root is non-negative. This is because the square root of a negative number is not defined in the set of real numbers.

The expression inside the square root is $ x + 4 $. For $ f(x) $ to be defined, we require:

\[
x + 4 \geq 0
\]

Solving this inequality:

\[
x \geq -4
\]

Thus, the domain of the function $ f(x) = \sqrt{x+4} $ is:

\[
\boxed{[-4, \infty)}
\]

This means that the function is defined for all $ x $ such that $ x \geq -4 $.

Would you like more details or have any questions?

Here are 5 questions related to this topic:
1. How would the domain change if the function were $ \sqrt{x-2} $?
2. What is the range of the function $ f(x) = \sqrt{x+4} $?
3. How would the graph of $ f(x) = \sqrt{x+4} $ look?
4. What happens to the domain if we square the function?
5. How do we find the domain of a function with both a square root and a fraction?

**Tip:** Always check for restrictions like square roots and fractions to determine the domain of a function.

The graph of the function f(x) = √(x+4) is shown below. The domain of the function is

Discover how to find the domain of the square root function f(x) = √(x+4). Understand key algebraic concepts, such as determining the domain of functions involving square roots, and learn to solve inequalities. This topic is suitable for students in Grades 9-11.

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