Question

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

Explanation:

🆕 New Concept Discovered: Excluded Values of Rational Expressions
Values that make the denominator zero.

Step 1: Identify the denominator

An excluded value is any input that makes the denominator of a fraction equal to zero, because division by zero is undefined.

For the expression:

$$ \frac{x - 6}{x + 4} $$

The denominator is:

$$ x + 4 $$

Step 2: Set the denominator to zero

To find the excluded values, set the denominator equal to zero and solve for \( x \):

$$ x + 4 = 0 $$

$$ x = -4 $$

There is only \( 1 \) value of \( x \) (which is \( -4 \)) that makes the denominator zero.

Answer:

1