Question

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{3}{\mathbf{3}\mathbf{x}\mathbf{-}\mathbf{6}}$

Short answer

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

Step-by-step solution

Step 1. Exclude the values.

Exclude the values for which $3x-6$equals 0.

$3x-6=0$

Step 2. Add.

Add 6 on each side of the above obtained equation.

$\begin{array}{c}3x-6+6=0+6\\ 3x=6\end{array}$

Step 3. Divide.

Divide each term by 3.

$\begin{array}{c}\frac{3x}{3}=\frac{6}{3}\\ x=2\end{array}$

$x$cannot equal to $2$. Therefore, the excluded value is $x=2$.