Question

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{1}{\mathbf{x}\mathbf{-}\mathbf{3}}$

Short answer

Excluded value of the function is 3.

Step-by-step solution

Step 1. Exclude the values.

Exclude the values for which$x-3$ equals 0.

$x-3=0$

Step 2. Add.

Add 3 on each side of the above obtained equation.

$\begin{array}{c}x-3+3=0+3\\ x=3\end{array}$

Step 3. Write the conclusion.

$x$cannot equal to 3. Therefore, the excluded value is $x=3$.