Q23. - Algebra 1

Question

State the excluded value or values for each function.

$y=\frac{6}{x-1}$

Step-by-Step Solution

Answer

Excluded value of the function is 1.

Step 1. Exclude the values.

Exclude the values for which $x-1$ equals 0.

$x-1=0$

Step 2. Add.

Add 1 on each side of the above-obtained equation.

$$\begin{gathered} x-1+1=0+1 \\ x=1 \end{gathered}$$

Step 3. Write the conclusion.

$x$ cannot equal to 1. Therefore, the excluded value is $x=1$.