Chapter 11: Q16. (page 728)

State the excluded value for each function.
$y = \frac{2}{2 x - 5}$

Short Answer

Expert verified

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

Step by step solution

Step 1. Exclude the values.

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

$2 x - 5 = 0$

Step 2. Add.

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

Step 3. Divide.

Divide each term by 2.

$\begin{matrix} \frac{2 x}{2} = \frac{5}{2} \\ x = \frac{5}{2} \end{matrix}$

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

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State the excluded value for each function.
$y = \frac{2}{2 x - 5}$

Short Answer

Step by step solution

Step 1. Exclude the values.

Step 2. Add.

Step 3. Divide.

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State the excluded value for each function.
$y = \frac{2}{2 x - 5}$