Question

In Problems 45-60, determine whether $f$is continuous at $c$$c$.

localid="1647067335811" $$\begin{gathered} f\left(x\right)=\frac{x-6}{x+6}, \\ c=-6 \end{gathered}$$

Short answer

The function is not continuous

Step-by-step solution

Given information

Given function$f\left(x\right)=\frac{x-6}{x+6}$

Check whether the function is defined at c

Checking, we get

$f(-6)=\frac{-6-6}{-6+6}$

It is not defined and there is a hole so it is not continuous