The image you provided appears to contain mathematical notes in Arabic regarding functions and inverses. Let’s go through the key elements:

1. Definition of the Function: The function $f(x) = (\sqrt{x} - \sqrt{a})^2$ is given. This expression represents the square of the difference between the square root of $x$ and the square root of a constant $a$.

2. Domain of the Function: It seems the domain $D_f$ is under discussion. Typically, when dealing with square roots, the argument must be non-negative to keep the function real, so for $f(x)$, the domain would include values of $x$ for which $\sqrt{x} - \sqrt{a}$ is defined, likely implying $x \geq 0$.

3. Limit of the Function: The notes appear to mention a limit expression: $\lim_{x \to a^+} f(x)$ which likely evaluates the function's behavior as $x$ approaches $a$ from the right.

4. Range of the Function: There is mention of the range $I = [0, \sqrt{a}]$, indicating the set of possible values for $f(x)$, given its domain.

5. Inverse Function: There is a note suggesting that $f$ has an inverse function, likely referring to finding $f^{-1}$, which maps the range of $f(x)$ back to its domain.

Would you like a step-by-step solution for finding the inverse of this function or further clarification on any of these topics?

Here are five questions related to this topic:

1. What steps are involved in finding the domain of a function involving square roots?
2. How can we find the inverse of a quadratic function like $f(x) = (\sqrt{x} - \sqrt{a})^2$?
3. What is the importance of calculating the limit of a function as $x$ approaches a particular point?
4. How do we determine the range of a function defined on a specific interval?
5. What conditions must a function meet to have an inverse?

Tip: When dealing with functions that involve square roots, always consider the constraints on the variable to ensure that the expression remains within the real number set.