Question

what is the only value of x not in the domain ?

Answer 1

The Solution:

Given:

Required:

Find the domain of the function. What is the value of x that is not in the domain of f(x).

Graphing the function, f(x), we get:

So, the domain of the function is:

$(-\infty,-1)\cup(-1,\infty)$

To find the value of x that is not in the domain, we need to find the value of x for which the function is undefined. That is,

$\begin{gathered} 6x+6=0 \\ 6x=-6 \\ \\ x=\frac{-6}{6}=-1 \end{gathered}$

Thus, the value of x not in the domain is:

$x=-1$