Chapter 12.1, Problem 39MR

To determine

To identify: the excluded value of the given rational function.

Answer to Problem 39MR

  $x=4$ .

Explanation of Solution

Given:

The given rational function is $f\left(x\right)=\frac{5x}{x-4}$ .

Calculation:

As the given rational function is $f\left(x\right)=\frac{5x}{x-4}$ .

Now, to find the excluded value you have to find when the denominator is equal to zero because then the equation will be undefined, so set the denominator equal to zero. Therefore,

  $\begin{array}{l}x-4=0\\ \Rightarrow x=4\end{array}$ .

Hence, the excluded value of the given rational function $x=4$ .