Question

Find all values of x for which g'(x) does not exist.

G(x)= |x+1|/(2x-4)

Answer 1

certainly 2 is out, since it is not in the domain.
also -1

Answer 2

absolute values is a piecewise function, so you always have a problem where it is 0

Answer 3

\[\frac{|x+1|}{2x-4} = \left\{
\begin{array}{lr}
\frac{-x-1}{2x-4} & : x <0\\
\frac{x+1}{2x-4} & : x \geq 0
\end{array}
\right.\]

Answer 4

damn that is wrong

Answer 5

and i spent all that time typing it. should say x < -1 and x > -1
i am not typing it over