Question

Create a function that is not continuous at the number$5.$

Short answer

The function that is not continuous at the number$5\mathrm{is}\mathrm{f}\left(\mathrm{x}\right)=\frac{1}{\mathrm{x}-5}.$

Step-by-step solution

Step 1. Given Information 

A discontinuous function is defined as a function that has a point where the function is not defined or the left-hand limit and right-hand limit exist but not are equal.

Step 2. Creating a function

To create a function that is not continuous at $5$, we will create a function that is not defined at $x=5$

So, the function is $f\left(x\right)=\frac{1}{x-5}$because at $x=5$ the function is not defined.