Chapter 11.7, Problem 11PPE

To determine

Identify the excluded value of the rational function?

Answer to Problem 11PPE

  $3$

Explanation of Solution

Given function:

  $h\left(x\right)=\frac{-3}{2x-6}$

Concept used:

• Excluded value are the values that makes the denominator of a fraction equal to zero and are not part of the domain.

Calculation:

  $\begin{array}{c}h\left(x\right)=\frac{-3}{2x-6}\\ 2x-6=0\\ 2x=6\\ x=\frac{6}{2}\\ x=3\end{array}$

The Excluded value is $x=3$