Identify Applications of the Expression -8+3/(x+2): Rational Functions

To solve this problem, we must find the domain of the expression $-8+\frac{3}{x+2}$.

The domain of an expression is the set of all real numbers that don't cause any division by zero.

Let's analyze the expression:
We have $\frac{3}{x+2}$ as part of the expression. The critical part is the denominator $x+2$.

Step 1: Set the denominator equal to zero to find the value that makes the fraction undefined:
$x + 2 = 0$

Step 2: Solve the equation for $x$:
Subtract 2 from both sides:
$x = -2$

This shows that the fraction is undefined when $x = -2$. Therefore, $-2$ must be excluded from the domain.

Conclusion: The domain of $-8+\frac{3}{x+2}$ is all real numbers except $-2$.

Thus, the correct answer is: All numbers except (-2).