Question

use the expression \\(\frac{x - 6}{x + 4}\\). how many excluded value(s) are there? what is the excluded value?

Explanation:

Step1: Recall excluded values rule

For a rational expression $\frac{f(x)}{g(x)}$, excluded values are when $g(x) = 0$.

Step2: Set denominator to zero

Set $x + 4 = 0$.

Step3: Solve for x

Subtract 4 from both sides: $x = -4$.

Step4: Count excluded values

There's 1 solution, so 1 excluded value.

Answer:

Number of excluded values: 1
Excluded value: -4