Q16. - Algebra 1

Question

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{2}{\mathbf{2}\mathbf{x}\mathbf{-}\mathbf{5}}$

Step-by-Step Solution

Answer

Excluded value of the function is $\frac{5}{2}$.

Step 1. Exclude the values.

Exclude the values for which $2x-5$ equals 0.

$2x-5=0$

Step 2. Add.

Add 5 on each side of the above obtained equation.
$\begin{array}{c}2x-5+5=0+5\\ 2x=5\end{array}$

Step 3. Divide.

Divide each term by 2.

$\begin{array}{c}\frac{2x}{2}=\frac{5}{2}\\ x=\frac{5}{2}\end{array}$

$x$ cannot equal to $\frac{5}{2}$. Therefore, the excluded value is $x=\frac{5}{2}$.