Q18. - Algebra 1

Question

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{\mathbf{-}\mathbf{1}}{\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{8}}$

Step-by-Step Solution

Answer

Excluded value of the function is $-\mathbf{4}$.

Step 1. Exclude the values.

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

$2x+8=0$

Step 2. Subtract.

Subtract 8 on each side of the above obtained equation.

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

Step 3. Divide.

Divide each term by 2.

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

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