https://file.aiquickdraw.com/mathbot/file/1725995013134lpbfsy8q.jpg

The function given in the image is:

\[
g(x) = \frac{x - 3}{x^2 - 4}
\]

To determine the values of \(x\) that are **NOT** in the domain of the function, we need to find where the denominator is zero because division by zero is undefined.

The denominator is \(x^2 - 4\). We set this equal to zero and solve for \(x\):

\[
x^2 - 4 = 0
\]
\[
x^2 = 4
\]
\[
x = \pm 2
\]

So, the values of \(x\) that are not in the domain of the function are \(x = 2\) and \(x = -2\).

### Final Answer:
\[
x = -2, 2
\]

Let me know if you'd like further details or have any questions!

### Related Questions:
1. What is the general definition of the domain of a function?
2. Why can't functions include values that cause division by zero?
3. How do we solve equations involving quadratic expressions like \(x^2 - 4 = 0\)?
4. Can this function have any other restrictions on its domain besides division by zero?
5. What is the significance of the numerator in this function?

### Tip:
Always check the denominator of a rational function first to find where the function is undefined.

Find all values of x that are NOT in the domain of the function g(x) = (x - 3) / (x^2 - 4).

Learn how to find values of x that are not in the domain of the rational function g(x) = (x - 3) / (x^2 - 4). Understand key algebraic concepts, such as solving for undefined values using the zero product property, suitable for students in Grades 9-11.

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