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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 11: Q18. (page 728)

State the excluded value for each function.
$y = \frac{- 1}{2 x + 8}$

Short Answer

Expert verified

Excluded value of the function is $- 4$ .

Step by step solution

01

Step 1. Exclude the values.

Exclude the values for which $2 x + 8$ equals 0.

$2 x + 8 = 0$

02

Step 2. Subtract.

Subtract 8 on each side of the above obtained equation.

$\begin{matrix} 2 x + 8 - 8 = 0 - 8 \\ 2 x = - 8 \end{matrix}$

03

Step 3. Divide.

Divide each term by 2.

$\begin{matrix} \frac{2 x}{2} = \frac{- 8}{2} \\ x = - 4 \end{matrix}$

$x$ cannot equal to $- 4$ . Therefore, the excluded value is $x = - 4$ .

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